' +JJJJ ?\>m 0M='+l> /+l   d]@ŵLҦ]]LF L}BBL]` X  ` 鷎귭෍ᷩ췩緈JJJJx Lȿ L8ᷭ緍췩 緍i 8 `巬 췌`x (`(8`I`B` pp>J>J>VU)?`8'x0|&HhHh VY)'&Y)xꪽ)' `Hh`V0^*^*>&` aI꽌ɪVɭ&Y&&Y& 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8  '  & x)*++`FG8`0($ p,&"ųųೳŪŪųųij  !"#$%&'()*+,-./0123456789:;<=>?   1 '" *"( (9"1 ( ,.(0# 2  /#0/#0 *?'#07#00/0/'#07#0:"4<*55/**5/*%5/)1/)1/)1/)'#0/#0*5/*75/**5/*:5//#0/#0'#07#0:::*::'#07#0"):$(%"%:$(%"%$$2%4%$$2%4%$(2()!)E(!8b $!H(+ "@H !D)"E` @ $ C ` DQ &J80^݌Hh ü ü݌ ռ ռ ռA ļD ļ? ļAEDE?HJ>h Լ ռ ռ ռ`HJ>݌h Hh݌`葠葠ȔЖȔЖȠHIHHHHhHH݌hHhHh݌H6 VDP (ED Z $0x8x D- ܸDD# H8`?E Vk *f???0xE Hh D#-EEE8` D ܸx D - ܸx8`-0ݩ?ʥD EEE`   LDcpq` [` ~  LӜu`".Q`pNФbptťܥm2<(-Py0\|e<6e<g< JJJJj귍hI  aUL@ kU8  L  Q^R(jQ0l^l\  wUuW ԧ H h@ [_ /QSb_L`LLLL`ª`LQLYLeLXLeLee ўQH\(h0L& Ꝥ$`( R \ZLl8 ўR HH\`\Z[YS6`LxQɿu3'RͲʎRʎ]]]ɍuL͟ɍ}RLRɍg^H8 ^hZLɍR LͲɊRR% QLܤͲ Z@ -^ ş\[Z QY\[Z8`l6Lş_Ȍb_Ͳ] )Y h( ֭ͲLɍ [LLĦ__ ^ 9 LҦ3 9 a   0LjLY u< (_9 ˭ɠuɠK_9 ?LˆʎõĵL õ ĵµ aµ`` L̦µ_bJLuLz`  ȟ QLJ̥KlVlXlV eօ3L e3L &RL &QL d L4 Ne)n `@-eff `LLL` OPu d L Ne)noon 8ɍ` ^f\õL ^NR  RΩLҦ)\Z ʽ LHv 3h`0h8` [L NС õ`A@` ŵL^Lõ`  \ 濭0 \  ȟ Q ^\lZl^?cqH şch`fhjõĵ@OAP`u@`@&`QR`E Ls  @DAE@u`8` %@ @A@`@`@A`Mµ ) LЦ`8@AWc@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@ch8&ȑ@Hȑ@Ah@LHȑ@ȑ@ htphso`hMhL`9V8U897T6S67`MAKLOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIF!pppp p p p p`" t""#x"p0p@p@@@p@!y q q p@  LANGUAGE NOT AVAILABLRANGE ERROWRITE PROTECTEEND OF DATFILE NOT FOUNVOLUME MISMATCI/O ERRODISK FULFILE LOCKESYNTAX ERRONO BUFFERS AVAILABLFILE TYPE MISMATCPROGRAM TOO LARGNOT DIRECT COMMANč$3>L[dmx- (  @Ҡɠ@跻~!Wo*9~~~~ɬƬ~_ j ʪHɪH`Lc (L ܫ㵮赎 ɱ^_ J QL_Ls贩紎 DǴҵԵƴѵӵµȴ 7 ַ :ŵƴѵǴҵȴµ納贍﵎ٵ്ᵭⳍڵL^ѵ-I `  4 ò-յ!  8صٵ紭ﵝ 7L (0+BC  7L HH`LgL{0 HH` õL H hBL BH [ h`Lo õ ڬL B ڬ LʬH hB@ յյ [L (ȴ) ȴ 7L L ( L (ȴL{ƴѵ洩ƴǴҵ 7 ^* B0 HȱBh ӵԵ 8 L8 ݲ`XL XQTV8 <=C>?Bؠ ,L       紅D贅E B ƴ  / 0L Ν `HD٤DEEhiHLGh ` ŵBѵ-` ѵB-` ܫ XI볩쳢8 DH E𳈈췍Ȍ X0 · JLǵBȵC`,յp` 䯩 R-յյ`յ0` K R-յյ`ɵʵӵԵ` 4 K ( ѵҵLBȱBL8` DBHBH : ַ޵BȭߵBhhӵԵ RBܵmڵ޵ȱBݵm۵ߵ` 䯩LR˵̵ֵ׵`êĪLR E( 8` R` ELRŪƪ`췌 յյI뷭鷭귭ⵍ㵍跬ª 뷰` Lf ݵܵߵ޵ ^`8ܵ i B8` 4L ֵȱB׵ ܯ䵍൭嵍 ` DȑB׵Bֵ  ַ յյ`굎뵎쵬 뵎쵌``õĵBCõĵ`µµ`L õBĵCصص Qƴ0"Bƴ 󮜳` 0۰ϬBƴ8`i#`ЗLw!0>ﵭ` m ﳐ 7i볍 8 ЉLw`H h ݲL~ `浍국䵍뵩嵠Jm赍嵊mjnnn浈ۭm浍浭m䵍䵩m嵍`"L ŵ8ŵH ~(`F d ֠z# upBM%:36257:3:255,1:;CH%0:CV%0:RM%23:RN%1:BM%191G1700:W24:1200:gl23:1200::CH:850:N$G$:660:N$"="N$";"N$"+"G$"0"G$"9"C8C81:C85C84:2000NQSD%Č867n:N%(N$):ES(N$""N$"_"):RT(N$Т9:1:WI%40:HI%13:998:8L9:1:8,21:MA38312:960\xV((1)(2RG1))RG:V01400V%(V):VV$(V%):LV(VV$):V0V$"-":V$"+":WK%WK%1:WK%2ı38352:@22:1200:36,CH%:37,CV%:1:36289,RM%:36295,RN%:36309,0:38387:1352CV22Đ,CV23İ923C255:249,CI%:3:^200:249,7:239,8:241354:5:" ";S3$;:3:"Press RETURN ";:5:S3$; 800:X127ı#1310FWI%34:NC%0:978:H24:3:WI%36:NC%1:978:J5:WI%32:979:K::3:239,8:249,8:/NC%1:19WI%2:978J.0:19WI%2:MS$:3:LNC%1:H%19(MS$)2:WI%H%1:1:978:H%:MS$;:37H%:978:~H%18(MS$)2:1:969:H%:MS$:3:CV(37):CI%(249):CV23İ9231300:CV22ĢCV1:3:7,39:8,23:8,WI%:960*8,WI%:NC%:36112:3:<MA36008:970NMA36060:970n7,HI%:MA36100:970:7,9:WI%1:HI%1:9981750249,8:WI%(MS$):NC%0:19WI%2:978:MS$:V%7239,1:249,7:37,V%:5:21WI%2:T1WI%1:"-";:T1D%::!8:900:923:L1:1:7,39:8,2:MA38387:960:1:1:oCV%:CH%:MA38296:960:CV%:0:23:1:38327:23:900:9:1:958:MA38296:960MA38327:9600:MA:3:7,9:MA35956:9601:35956:0:"2";:37,CV%:239,CI%:(BL$BT$(I):9BL$BI$(I):I:D%1:400|::10:10:"loading"BL$"...":0:"BLOAD"BL$3:30000: 16368,0:34924/X(5):G$(X128):ID%>QR35828:X(5)128:G$(X):1:38202:3::M%İ755:600<lG$:249,7:G%710,720,730:GG%G%:750:600G%(G$"E")2(G$"T")3(G$"I")4(G$"M"G$"")5(G$"B")6(G$"C"):MQ%(N$"E")2(N$"A")3(N$"H")4(N$"M"N$""):NQMQ%0:CV%(37):CI%(239):239,1:37,CV%CI%5:00 M%MM%ġ:755:400 XI(M%0)2(M%4):::MS$" CHAPTER "((I2)4)" ":1000:239,11:4:249,08:T%11:T%)"[T]"BT$(I)::T%)"[I]"BI$(I)::T%)"[M] MENU":239,08:15:13:"Which? ";b850:650:G%G%1:G%1G%3610 gG%GG%M%Men press RETURN."G 23:38:249,7:957:23:38:M%;:410:G$" "520U SD%Č867 G$""G$" "M%(M%0)(M%1)(M%0)6:505 G$""G$" "G$" "M%(M%6)(M%1):505 G%(G$):(G%0G$"0")G%6505 M%G%:505M%0M%4ġ:6 QUADRATIC EQUATIONS ":1100:V%86:WI%(MS$):1021:249,9 14:T%:"4.";:249,7:BI$(2)"or"BT$(2):16:T%:249,9:"5. aX";:700:" + c = 0":18:T%:"6. aX";:700:"+bX+c = 0 249,7 23:1:"Enter the number of your choice, ";:5:S1$:3:"th020D T%5:3:249,9:T%:"0.";:249,7:9:BI$(1)"or"BT$(1):249,9 5:T%:"1. X";:700:" +bX+..= (X + ..)";:700:7:T%:"2. aX";:700:"+bX+c = a[(X+..)";:700:"+.]" 9:T%:"3. aX";:700:"+bX+c = a(X+..)";:700:"+ ..":249,8: 11:MS$"10:8:"JUST ONE MOMENT... ":0::"BLOADPURGE"::3:30400i "BLOADCLOSER":30010::"BLOAD"BL$: VT%(M%):JJ1:5:3:S1$;:D%10:800:0:3:S1$:D%0: 410 MM%M%:G$"":MS$" COMPLETING the SQUARE ":CH%0:CV%0:BM%167:1700:1010:16:"BLOADINTRO"::30000 ::RI$"":BT$(1)" TUTORIAL I":BT$(2)" TUTORIAL II":BI$(1)" INSTRUCTIONS I ":BI$(2)" INSTRUCTIONS II ":430:BL$" CHAPTER "(M%):3:750:400 :10:8:"JUST ONE MOMENT...":0::"BLOADSCORES"::3:51000= 28565:7  849d33,40:32500:34895:FT$(4),H$(4),I(3),H%(6),VT%(6),L(4),A(4),B(4),AA(4),BB(4),AA$(4),BB$(4),U$(4),V$(4),W$(4),U%(4),V%(4),W%(4),LN(4),P%(4),P$(4),X(4),XX(4) ,::10:12:3:"RUNNING SOON...":0:AF%(176)256(175):AF%8,01:AF%7,9         1ĺ"- ";:CHCH2:6#CO2W0ĺ"+ ";:CHCH2:4300D#W04300b#W0ĺ"+ ";:CHCH2:4300z#W0ĺ"- ";:CHCH2#W(W)ĺ(W);:CHCHT:#37,C%6:CH(TUU%)2:(U);:37,C%7:CH(TVV%)2:(V);:37,C%::CH:T$;:CHCHT:#EZ%ġ:2$(((U))):VV%(((V))):TVV%:UU%VV%TUU%O"T$"":TT1T:T$"-"T$::["N211",UN(UN)VN(VN)UUN:VVN:4140"6:"h239,1:37,C%:CH::CO34280"CO2W1ĺ"+ ";:CHCH2:"CO1W1ĺ"";:CHCH:#(CO1CO2)WLT2L2$"":3580'! :L2$(T2$,LT1)=! MT0LT0:3360\!LTL2(L11SL):MT0:3360!:LM2(1SL)(T$T2$):LNLNLM!239,1:37,C%:LN!!t2500:G2:37000:3600!G0:::37000!V1WU:T(((U))):!4100/"WUV:UU%LN2(1SL):2500:((U$));:CHLN1SLL1:C8C6:3350O V$""RTES1:3480m RTU(U$):V(V$):3600 :N$;:V$V$N$:L2(V$):MTL11SLL2 MT0LT0:3540 T2$T2$"-":LTL2(L11SL) :L22LV$"":3560 LV$(V$,L21)! k :NQNQ2:29000,p NXCO0CO3RT1Ez NX(CO3CO0)3400p :(CO3CO0)U$""(U$)0PMRT1 (NZESRT)C8C7:3400 ESV$""CHCH1:V$LV$:T2$L2$:L2L21:MTL11SLL2:LTMT:35406 :ESV$""T2$"":L20:LT0:37,C%:  CH:2500& CH:G3:37000:3040d :LN2(1SL):2500:LN2(1SL)LT2:37,C%6:((U$))* 37,C%:LN2(1SL):T$T2$;:G2:370004 37,C%7:CHLN2(1SL)MT2> :CH:V$;:CHCHL2H 239,1:37,C%7:2000f (0)39ES0RT03000"-"RTU$"-1":U1:V1:3700< :NXRTU(U$):V1:3600[ NX0RTU(U$):V1:3700d N$;{ :U$U$N$:CHCH1 NZT$T$"-" L1(U$) :L12LU$"":LT$"":3340 LU$(U$,L11) L12SLLT$"":3340 :LT$(T$,L12SL)ES(U$"+"U$"-")3000>l :ESCHCH1:U$LU$:T$LT$:3290Sv TL(U$)03040r TLMTL11SL:C6C7:3360 :((CO1NX0)(CO3(U$""U$"+"U$"-")))RT3040 CO0CO3(U$""U$"+")RTSL(U$""):U$"1":U1:V1:3700 CO0CO3U$"+"U$"-")(CO0CO3)(PMRT)3040@0 :U$""PM0CO33040`: :U$""CO2NZSL1:3260D U$""CO1NXRTCHCH2:SL1:U$"1":U1:V1:3600N U$""PMĺN$" ";:CHCH1:SL0:3270S :(CO3CO0)U$""PMRT1X RDETC8C7:3040b 0:LW0:LR0:P0:U0:V0:W0:CH:2500:> :2900:G1:37000J :2600j :(0)38(ESTLRT)3000x NQ29000 :NXCO0CO3RT1 :NX(CO3CO0)3040 U$""ES3800 :U$""CO0RT3040! :U$""CCRTU0:V1:$& (U$V:36,CH%:239,1:37,C%:5( :239,1:37,C%:2000:z :LNLN(I):2900:LN:3150:AA(I)U:AA$(I)U$:BB(I)V:BB$(I)V$:'T :CHLN:U$"":V$"":W$"":P$"":WR$"":T$"":T2$"":L20:SL0:LU$"":LW$"":LP$"":LT$"":VT$""::TV$"":TT0:LT0:LP0:LU0:LVU:AA$(I)U$:BB(I)V:BB$(I)V$:i:LNLN(I):5000:U%(I)U:U$(I)U$:V%(I)V:V$(I)V$:W%(I)W:W$(I)W$::LNLN(I):8000:P%(I)P:P$(I)P$:U%(I)U:U$(I)U$:V%(I)V:V$(I)V$:W%(I)W:W$(I)W$: :239,8:CH%(36):CV1:7,40:8,CV1:MA38387:960:C" "):PM(N$"+"N$"-"):NX(N$"X"):N2(N$"2"):TL(N$"/"):NZ(N%0N$"0"):RD(N$"V"):ETESPMTLNZRDRT(ET)(NQ)(G$"0"G$"9")2000 ESC8C81:C80C80:(RT)(PM)(TL)(RD)C7C8:C80COI:LNLN(I):3000:AA(I)Ѝō΍ҍ΍΍ԍ΍ȍčҍ΍΍ҍٍҍ΍΍ԍ΍čٍ̍ҍ΍čٍ΍ٍӍԍ͍׍ύӍӍ΍͍ō΍ԍӍӍҍԍӍčč׍ōč΍׍ҍٍ΍Ǎ΍΍ԍٍ΍ӍˍӍҍˍōˍō΍׍׍Ǎԍ͍ҍڍ׍Ӎύ΍׍Ӎō΍ԍٍ͍΍ʍʍōԍϹōԍčٍ      +D D$(13)(4).D$;"OPEN STUDFIL,L85"HD$;"READ STUDFIL,R0"P(NRZ-1000w2D$;"CLOSE":"DONE...":"THERE ARE "NR" RECORDS."NR0ıI1NRD$;"READ STUDFIL,R"IR$:R$ R$:R$ F114:F$:F$:: STUDFIL,R"I- L$:F$:C12:F17:F::= D$;"CLOSE"E :+ G"NUMBER OF RECORDS";NR/ D$(13)(4)JD$;"OPEN STUDFIL,L85"eD$;"WRITE STUDFIL,R0"x(ST114:NR:2D$;"CLOSE":NR0İ1000<"DONE...":I1NR"FIRST NAME";F$:"LAST NAME";L$D$;"OPEN STUDFIL,L85" D$;"WRITE1):CTCT2:58SP04:(CTSP)" ";:::CTCT5:QCTCT2:2000:CTCT5:F:(IX1)2)1::IXND11:D(IX);:IX1ĺ",";: :"] "Q CTCT6(ND1)21` IX0D(1)o IY0D(2)~ IZ0D(3) 6000 ::: o p"("IZ;:D(2)0ĺ","IY;:D(3)0ĺ","IX; u")="; zTA6100,6300,6200: (CT)256(CT"" D(3) % (N1);(N2);L N1128N2128ĺ"%[";:TA1:4040k N2128ĺ"$[";:TA2:4040z "[";:TA3 HRCT(CT2)256(CT3):5000 :CTHR: D(1)0:D(2)0:D(3)0:ND(CT4):IX1ND. D(IX)(CT5(IX1)2)256(CT6LE;"] "; LE0ĺ"NULL":7 ST(CT3)256(CT4)] STLPSTHPĺ"LITERAL STRING.": GS0LE1:((GSST));::: INITIALIZE MUST BE FIRST LP0:HP0:AP0:CT0:N10:N20:LE0:ST0:GS0:SP0:EV0:TA0:HR0:IX0:IY0:IZ0:ND0 CP$:N2(CT1):40003 CP$"Y"EV(109)256(110)B CTEV110H Z (N1);(N2); N1128N2128ĺ"%";:4:"=";(CT2)256(CT3): N2128ĺ"$ ";:2000: "=";:SP26:(CTSP)" ";:::  ANALIZE STRINGS LE(CT2):"["; #CP$"Y"AP(107)256(108)* (CTLPH 2N1(CT):N2(CT1):1000j ACP$"Y"AP(107)256(108) FCTCT7:CTAP50 P"======== ARRAYS ===============": ZCTAP:CP$"Y"CT(107)256(108) dCP$"Y"EV(109)256(110) nN1(CT)S 3000N :"CURRENT POINTERS";:CP$:CP$(CP$,1):CP$"Y"CP$"N"10 CP$"Y"LP(105)256(106):HP(115)256(116):30"INPUT LOMEM";:LP"INPUT HIMEM";:HP"INPUT START OF ARRAYS";:AP"END OF VARIABLES";:EV    ! r16297,0:16304,0:16299,0< CALL890:REMMYADDITION[ :(4);"BLOAD INPUTBUFF6"y 34896:1014,88:1015,136 D$"RUN BASE II"II":y". 249,7:14:19:7,35:8,16:3:38387:0R 249,8:15:18:"J.M. LAZERGES"g 3:249,7:21:4 "(C) 1985 - ACTIVITY RECORDS, Inc." "23:228,170:38206:3: ,239,1:37,183:249,9:" ...now loading the program..." ^249,7:239,8:24D$"BLOAD HITEXT":D$"BLOAD LOGO"I 230,32:62450:230,64:62450:35248g :16302,0:35584:35816 1:249,7:13:"EDUCATIONAL ACTIVITIES, Inc." 4:249,8:20:"presents" 8:16:"THE ALGEBRA COACH" 10:20:"Volume II" 12:23:"b);(7);"*** DISK IS WRITE PROTECTED ***":::"PLEASE REMOVE WRITE PROTECT TAB AND":"REINSERT DISK.":::"PRESS ";::"SPACE BAR";: %" WHEN READY." '16368,0:K$:K$" "39 )0:::222,0: d POKE1010,0:REMPOKE1011,0 :REMPOKE1012,0 n 1012,0B (4);"MAXFILES 1":34816:31000::D$(13)(4)I 3R 30s ?:PRINTCHR$(4);"BRUN OILER":(4);"BLOAD STARTUP"12:10:"ONE MOMENT, PLEASE..."(4);"UNLOCK LOADER II"(222)4ī100 #::10:1::(7);(7  1000:I:I1100:I D$(13)(4)*SA64096:LA43616GF$:D$;"BLOAD "F$",A"SAeEASA((LA)256(LA1))(EH(EA256):ELEAEH2562175,EL:176,EH<104,9601012,00":30000: G$"2"ı) G$"3"ī8494 6207039n|:3" =" = (-A- 1:J10:CP3:NB10:60010eRZTZ:NB0:CM(0):39n|:3" =" = (-A- A" to:"::l N249,7:5:"[1] Do ";:249,7:11:" more questions of the":249,7:9:"same type"::249,7 X5:"[2] Return to the Main Menu":: b5:"[3] Exit":249,8::: l18:8:"Press 1, 2, or 3. "; v26:850:26:G$; G$"1"RI$"1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)M (RZTZ:NB0:CM(0):f 0 END OF SESSION :::3:11:10:249,8:"JUST ONE MOMENT...":0:409:::MS$" END of SESSION ":1000:5:9:249,7 D"Now, would";:249,8:18:"you like";:249,7: 7 TZSW:RZSWR F11:J10:CP2:CM(0)| (A$(RZ),F1,1)(13)F1F11:60140 J1J11:J1CPF1F11:60140 F2F11 (A$(RZ),F2,1)(13)F2F21:601704 R3$(A$(RZ),F11,F2F11):U2$((R3$)F2F111 (A$(RZ),F2,1)(13)F2F21:60070 R3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21) RZTZ:CM(0):' INCREMENT COMPLETIONS T` INCREMENT ATTEMPTS tTZSW:CM(0):RZSW~F11:J10:CP3(A$(RZ),F1,1)(13)F1F11:60040J1J11:J1CPF1F11:60040     00:?ht::4000?t:"BLOAD INPUT.6":30540t?t:"BLOAD";BL$:L32000,33000:1356:30600:"BLOAD INPUT.6":?t:"BLOAD INPUT.6":30595?t:"BLOAD EVA.6":30550?u:"BLOAD EVA.6":30760?/uAht::400?/u?/u?33000:to score":2:"a point for this question. You will":8:"also lose another point.">Jt249,8:1:"Do you still want the answer?(Y/N)";:850:RI$G$:G$:239,8:249,7>TtRI$"Y"ġ:950:24000:WK%0:K%0:?^t1356:921:249,11:11:"ANSWER":249,7:3300,29680:750:BL$MM$:750:W=s:1:249,11:10:"EXAMPLE":249,7:920:G$"E":32000:h=sBL$BT$(I):y=sBL$BI$(I):=t1356:239,11:8:249,8:12:"** WARNING **":249,7:S>t3:"If you confirm that you want the":2:"answer you will not be able 8:14:"HELP MENU":249,7:16:"----------"::141l (P0(LU2W$""W0))RT8040Y1v LU0RTU0:W0:5260v1{ LU3W$""RTW0:52601 W0((U$,4))0RT52601 W0U$" - "RTU1:52601 W0U$" + "RTU1:52601 P$P$N$:CHCH11 P(P$):LP(P$)2U3W$""CHCH1:CH:2500:U$LU$:8410:8040d0& ESLU3W$""CHCH3:CH:2500:U$"":LU0:804000 ESW$RV$İ5360:80400: ESWR$""İ5380:CH:RT$;:80400D TL(P0(LU2W$""W0))80401X TL((LU0)(LU3W$"")(W0(((U$,4))0LU3)8040(/NZW$""ĺN$RT$;:5320:8040;/RDU$""8040s/RDLU2W$""W$RV$:LW2:W$;:CHCH2:5370:8040/ESP$""3800/ ESP0CHCHLP:CH:2500::P$"":LP$"":LP0:8040/ ESP0U$""CHCH1:CH:2500:P$LP$:8370:8040.0 ESL .@2900.h2600*.rNQNQ13:290008.ET8040i.PMP$""N$N$" ":N$;:CHCH1:8360:8040.PMP0U$""W$""N$" "N$" ":N$:CHCH2:8400:8040.PM((P0P$"")(U$""))8040/NZW$""ĺN$;:(U$"")2(U$"")8360,8400:(V$):LV(V$):CDLN(TTLV)2@-LV$"":LV1LV$(V$,LV1)-LVTTĖLN:CH%LN:CV%21:239,8:922:239,1:37,C%7:CD:V$;:CHCDLV:-LN:2500:LHLN-T1LV:"-";:-37,C%6:CD:P$U$W$;:CDTTLT:VT$.&37,C%7:LN:V$;:CHLNLV:5410,hU$""P0RTU11,rW$""P0RTW1P,|(U$"+ "U$" + ")RTU1p,(U$"- "U$" - ")RTU1,CHLN1TT(LVTT)LV(LVTT):,P05040,8040,LHLN:LN:2500:P$U$W$;,W$""ĖLNTTLT:VT$RT$,CHLNTT: -V2000+'(0)38ES17+,ESV$""C8C6:5560:5530K+1NQNQ7:29000m+6ESV$""V$LV$:5590:5410+8PMV$""V$N$" ":5590:5410+;RDPM5410+@(ESNZRT)5410+JNZV$V$N$:5590:5410+TV$""RTES1:5420,^V$""V0RT"":T$"":LW0:LHCH:CH:2500:I*CH:RT$;:CH:LW$"":LT$"":TV$"":*CHCH1:W$LW$:T$LT$:VT$TV$:5330:LHCH:CH1:2500:*LN:LHLN:2500:TTLPLULW:T1TT:"-";:*37,C%6:LN:P$U$W$;:LNTTLT:VT$:CHLNTT2+"239,1:37,C%7:1LU$(U$,LU1))B)W$W$N$:CHCH1:T$T$"-":VT$VT$RT$y)LW(W$)1:LT(T$):LR(VT$):WR$(W$,4):W(WR$))W$RV$LW$"":LT$"":TV$"":)LW$(W$,LW):LT$"":LT1LT$(T$,LT1))TV$"":LR2TV$(VT$,LR2)) *CHCHLW:W$CH:RT$;:5040-(ZU0U$""W$""RT5040J(dU0W$""W0RT5040a(nU$""W0RT5040w(xU$""W0RTU1(U0W$""RTW1(U$""U$"+ "U1(U$"- "U1(V1:CH:2500:(U$U$N$:CHCH1)U(U$):LU(U$):LU$"":LUHCH1:5280:5040'PM50403'RDW$""5040Q'TLU0U$""W$""5040n'TLU0W$""W05040' TLU$""W05040'TLW05390'(TLU0W$""C6C7:5390'2ESU$""W$""3800'FESW$RV$İ5360:5040(PESWR$""İ5380:""RTVV(V0)(V0):WW(W0)(W0):e&ESU$""W$""CHCH1:CH:2500:U$LU$:5290:5040&NZW$""ĺN$;:5280:5040&NZW$""ĺN$RT$;:5320:5040&RDW$""W$RV$:LW2:W$;:CHCH2:5370:5040'PMU$""W$""ĺN$;:N$N$" ":CN)VNĂ%*:N546905%>(UV)UVV14690@%HK%2:I%RK%0r%\J03:(FT$(I),3)(KK$,14J,3)ıx%p%zFK$FK$FT$(I):LK%(FK$):FK%FK%1:%UA(I):VB(I):4000:4200:%2900%2600%NQNQ6:29000%ET5040+&U$%EZ%ġ:>$EZ%FK%0Ĺ249,8:1:"Please, "M$(SW)".":249,7y$FK%0Ė1:"Simplify"(FK$,LK%1)" term";:FK%1ĺ"s";$FK%0ĺ" fraction";:FK%1ĺ"s";$FK%0ĺ".";:PCFA$$$V$""4680$ V$"1"4690 %N211:(UN)UN(V1ĺ"- ";:CHCH2:6#CO2W0ĺ"+ ";:CHCH2:4300D#W04300b#W0ĺ"+ ";:CHCH2:4300z#W0ĺ"- ";:CHCH2#W(W)ĺ(W);:CHCHT:#37,C%6:CH(TUU%)2:(U);:37,C%7:CH(TVV%)2:(V);:37,C%::CH:T$;:CHCHT: $KF%2ZK(((U))):VV%(((V))):TVV%:UU%VV%TUU%O"T$"":TT1T:T$"-"T$::["N211",UN(UN)VN(VN)UUN:VVN:4140"6:"h239,1:37,C%:CH::CO34280"CO2W1ĺ"+ ";:CHCH2:"CO1W1ĺ"";:CHCH:#(CO1CO2)WLT2L2$"":3580'! :L2$(T2$,LT1)=! MT0LT0:3360\!LTL2(L11SL):MT0:3360!:LM2(1SL)(T$T2$):LNLNLM!239,1:37,C%:LN!!t2500:G2:37000:3600!G0:::37000!V1WU:T(((U))):!4100/"WUV:UU%LN2(1SL):2500:((U$));:CHLN1SLL1:C8C6:3350O V$""RTES1:3480m RTU(U$):V(V$):3600 :N$;:V$V$N$:L2(V$):MTL11SLL2 MT0LT0:3540 T2$T2$"-":LTL2(L11SL) :L22LV$"":3560 LV$(V$,L21)! k :NQNQ2:29000,p NXCO0CO3RT1Ez NX(CO3CO0)3400p :(CO3CO0)U$""(U$)0PMRT1 (NZESRT)C8C7:3400 ESV$""CHCH1:V$LV$:T2$L2$:L2L21:MTL11SLL2:LTMT:35406 :ESV$""T2$"":L20:LT0:37,C%:  CH:2500& CH:G3:37000:3040d :LN2(1SL):2500:LN2(1SL)LT2:37,C%6:((U$))* 37,C%:LN2(1SL):T$T2$;:G2:370004 37,C%7:CHLN2(1SL)MT2> :CH:V$;:CHCHL2H 239,1:37,C%7:2000f (0)39ES0RT03000"-"RTU$"-1":U1:V1:3700< :NXRTU(U$):V1:3600[ NX0RTU(U$):V1:3700d N$;{ :U$U$N$:CHCH1 NZT$T$"-" L1(U$) :L12LU$"":LT$"":3340 LU$(U$,L11) L12SLLT$"":3340 :LT$(T$,L12SL)ES(U$"+"U$"-")3000>l :ESCHCH1:U$LU$:T$LT$:3290Sv TL(U$)03040r TLMTL11SL:C6C7:3360 :((CO1NX0)(CO3(U$""U$"+"U$"-")))RT3040 CO0CO3(U$""U$"+")RTSL(U$""):U$"1":U1:V1:3700 CO0CO3U$"+"U$"-")(CO0CO3)(PMRT)3040@0 :U$""PM0CO33040`: :U$""CO2NZSL1:3260D U$""CO1NXRTCHCH2:SL1:U$"1":U1:V1:3600N U$""PMĺN$" ";:CHCH1:SL0:3270S :(CO3CO0)U$""PMRT1X RDETC8C7:3040b 0:LW0:LR0:P0:U0:V0:W0:CH:2500:> :2900:G1:37000J :2600j :(0)38(ESTLRT)3000x NQ29000 :NXCO0CO3RT1 :NX(CO3CO0)3040 U$""ES3800 :U$""CO0RT3040! :U$""CCRTU0:V1:$& (U$V:36,CH%:239,1:37,C%:5( :239,1:37,C%:2000:z :LNLN(I):2900:LN:3150:AA(I)U:AA$(I)U$:BB(I)V:BB$(I)V$:'T :CHLN:U$"":V$"":W$"":P$"":WR$"":T$"":T2$"":L20:SL0:LU$"":LW$"":LP$"":LT$"":VT$""::TV$"":TT0:LT0:LP0:LU0:LVU:AA$(I)U$:BB(I)V:BB$(I)V$:i:LNLN(I):5000:U%(I)U:U$(I)U$:V%(I)V:V$(I)V$:W%(I)W:W$(I)W$::LNLN(I):8000:P%(I)P:P$(I)P$:U%(I)U:U$(I)U$:V%(I)V:V$(I)V$:W%(I)W:W$(I)W$: :239,8:CH%(36):CV1:7,40:8,CV1:MA38387:960:C" "):PM(N$"+"N$"-"):NX(N$"X"):N2(N$"2"):TL(N$"/"):NZ(N%0N$"0"):RD(N$"V"):ETESPMTLNZRDRT(ET)(NQ)(G$"0"G$"9")2000 ESC8C81:C80C80:(RT)(PM)(TL)(RD)C7C8:C80COI:LNLN(I):3000:AA(I)BM%:36257:3:255,1:;CH%0:CV%0:RM%23:RN%1:BM%191G1700:W24:1200:gl23:1200::CH:850:N$G$:660:N$"="N$";"N$"+"G$"0"G$"9"C8C81:C85C84:2000NQSD%Č867n:N%(N$):ES(N$""N$"_"):RT(N$Т9:1:WI%40:HI%13:998:8L9:1:8,21:MA38312:960\xV((1)(2RG1))RG:V01400V%(V):VV$(V%):LV(VV$):V0V$"-":V$"+":WK%WK%1:WK%2ı38352:@22:1200:36,CH%:37,CV%:1:36289,RM%:36295,RN%:36309,0:38387:1352CV22Đ,CV23İ923C255:249,CI%:3:^200:249,7:239,8:241354:5:" ";S3$;:3:"Press RETURN ";:5:S3$; 800:X127ı#1310FWI%34:NC%0:978:H24:3:WI%36:NC%1:978:J5:WI%32:979:K::3:239,8:249,8:/NC%1:19WI%2:978J.0:19WI%2:MS$:3:LNC%1:H%19(MS$)2:WI%H%1:1:978:H%:MS$;:37H%:978:~H%18(MS$)2:1:969:H%:MS$:3:CV(37):CI%(249):CV23İ9231300:CV22ĢCV1:3:7,39:8,23:8,WI%:960*8,WI%:NC%:36112:3:<MA36008:970NMA36060:970n7,HI%:MA36100:970:7,9:WI%1:HI%1:9981750249,8:WI%(MS$):NC%0:19WI%2:978:MS$:V%7239,1:249,7:37,V%:5:21WI%2:T1WI%1:"-";:T1D%::!8:900:923:L1:1:7,39:8,2:MA38387:960:1:1:oCV%:CH%:MA38296:960:CV%:0:23:1:38327:23:900:9:1:958:MA38296:960MA38327:9600:MA:3:7,9:MA35956:9601:35956:0:"2";:37,CV%:239,CI%:(BL$BT$(I):9BL$BI$(I):I:D%1:400|::10:10:"loading"BL$"...":0:"BLOAD"BL$3:30000: 16368,0:34924/X(5):G$(X128):ID%>QR35828:X(5)128:G$(X):1:38202:3::M%İ755:600<lG$:249,7:G%710,720,730:GG%G%:750:600G%(G$"E")2(G$"T")3(G$"I")4(G$"M"G$"")5(G$"B")6(G$"C"):MQ%(N$"E")2(N$"A")3(N$"H")4(N$"M"N$""):NQMQ%0:CV%(37):CI%(239):239,1:37,CV%CI%5:00 M%MM%ġ:755:400 XI(M%0)2(M%4):::MS$" CHAPTER "((I2)4)" ":1000:239,11:4:249,08:T%11:T%)"[T]"BT$(I)::T%)"[I]"BI$(I)::T%)"[M] MENU":239,08:15:13:"Which? ";b850:650:G%G%1:G%1G%3610 gG%GG%M%Men press RETURN."G 23:38:249,7:957:23:38:M%;:410:G$" "520U SD%Č867 G$""G$" "M%(M%0)(M%1)(M%0)6:505 G$""G$" "G$" "M%(M%6)(M%1):505 G%(G$):(G%0G$"0")G%6505 M%G%:505M%0M%4ġ:6 QUADRATIC EQUATIONS ":1100:V%86:WI%(MS$):1021:249,9 14:T%:"4.";:249,7:BI$(2)"or"BT$(2):16:T%:249,9:"5. aX";:700:" + c = 0":18:T%:"6. aX";:700:"+bX+c = 0 249,7 23:1:"Enter the number of your choice, ";:5:S1$:3:"th020D T%5:3:249,9:T%:"0.";:249,7:9:BI$(1)"or"BT$(1):249,9 5:T%:"1. X";:700:" +bX+..= (X + ..)";:700:7:T%:"2. aX";:700:"+bX+c = a[(X+..)";:700:"+.]" 9:T%:"3. aX";:700:"+bX+c = a(X+..)";:700:"+ ..":249,8: 11:MS$"10:8:"JUST ONE MOMENT... ":0::"BLOADPURGE"::3:30400i "BLOADCLOSER":30010::"BLOAD"BL$: VT%(M%):JJ1:5:3:S1$;:D%10:800:0:3:S1$:D%0: 410 MM%M%:G$"":MS$" COMPLETING the SQUARE ":CH%0:CV%0:BM%167:1700:1010:16:"BLOADINTRO"::30000 ::RI$"":BT$(1)" TUTORIAL I":BT$(2)" TUTORIAL II":BI$(1)" INSTRUCTIONS I ":BI$(2)" INSTRUCTIONS II ":430:BL$" CHAPTER "(M%):3:750:400 :10:8:"JUST ONE MOMENT...":0::"BLOADSCORES"::3:51000= 28565:7  849d33,40:32500:34895:FT$(4),H$(4),I(3),H%(6),VT%(6),L(4),A(4),B(4),AA(4),BB(4),AA$(4),BB$(4),U$(4),V$(4),W$(4),U%(4),V%(4),W%(4),LN(4),P%(4),P$(4),X(4),XX(4) ,::10:12:3:"RUNNING SOON...":0:AF%(176)256(175):AF%8,01:AF%7,9                               1)qRZTZ:NB0:CM(0):39n|:3" =" = (-A- A- An|:3" =" = (-A- A" = (-A- A- A(0):39n|:3" =" = (-A- LNB0:CM(0):39n|:3" =" = (-A- AF11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(R:RZSWp`F11:J10:CP2:CM(0)Hpj(A$(RZ),F1,1)(13)F1F11:60010jptJ1J11:J1CPF1F11:60010vpyF2F11p~(A$(RZ),F2,1)(13)F2F21:60030qR3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F2(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)?oRZTZ:CM(0):oڲ INCREMENT COMPLETIONS oڲ IF (MA) OR (MN) THEN MN = 0:IA = 0: RETURN pTZSWnֲ IF (MA) THEN IA = 0: RETURN 6nTZSW:CM(0):RZSWInF11:J10:CP3sn֭(A$(RZ),F1,1)(13)F1F11:55008nJ1J11:J1CPF1F11:55008nF2F11n֭(A$(RZ),F2,1)(13)F2F21:55020+oR3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$Z%KK%SK%0mŭEZ%0İ27400]m ƁI34:UAA(I):VBB(I):U$AA$(I):V$BB$(I):4600:KF%KF%K%:mm ZK%2:4500xm>K%1:mֲ INCREMENT ATTEMPTS B(2)))$l,ES%(0)ES%(1)AA(3)BB(3)0>l6ES%(3)ES%(2)EV%(2)alFT$(3)" 3rd,":FT$(4)" last "lDŭES%(0)SK$SK$FT$(3):SK%SK%1lNŭES%(3)SK$SK$FT$(4):SK%SK%1lXŭES%(1)KK$KK$FT$(3):KK%KK%1lbŭES%(2)KK$KK$FT$(4):KK%KK%1 mEVALUATION kDN%BB(3)BB(4)06kíDN%ġ:27000:27500gkEV%(1)AA(3)BB(3)(A(2)A(2))(4B(2)B(2))kEV%(2)AA(4)BB(4)A(2)(2B(2))kEV%(0)EV%(1)EV%(2)kES%(1)(AA(3)BB(3))(A(2)A(2))(4B(2)B(2))l"ES%(2)(AA(4)BB(4))(A(2)(2estions of the":249,7:9:"same type"::249,7Vj5:"[2] Return to the Main Menu"::vj5:"[3] Exit":249,8:::j18:8:"Press 1, 2, or 3. ";j26:850:26:G$;jИG$"1"RI$"":30000:jژG$"2"ıjߘG$"3"ī849j䘫39060kPò E239,11:10 ij&iX END OF SESSION ib::3:11:10:249,8:"JUST ONE MOMENT...":0:409:::MS$" END of SESSION ":1000:5:9:249,7il"Now, would";:249,8:18:"you like";:249,7:" to:"::,jv249,7:5:"[1] Do ";:249,7:11:" more quAA$(I)"":BB$(I)"":8h239,8:CV2010(WK%0):C%CV88OhCV:6:5:S1$;:3h" X";:700:" ";:CH13:CO2:I2:4800:"X ";hLN(3)CH2hC80:I3:CO3:2220hRT1ĺ" = (X )";:700h$LN(4)LN6h.I4:CO3h8C80:2220i`1500:W0ĺ"+ ..)";:700:(gҌ"- ..)";:700:=g PAREN SPACE RgI237100,37200]g쐭G0ıhg38160gPG137205,37210,37220,37230gU38160gZ" )";:700:gd")";:700:gn" )";:700:gp ANSWER INPUT hzI34:AA(I)0:BB(I)1:3 fG$"E"ı(fRI$"Y"RI$"":35020ifK%0:KF%0:KK$"":KK%0:SK$"":SK%0:FK$"":FK%0:CK%0:CO0tf38000f&50000f:f FORM X^2+BX+.. f6:10:"X";:700:" ";fCV6:CH13:C%40fCO2:I2f4800:"X + .. = (X ";g00e41400:A(2)V:B(2)1:*e1400:A(2)V@eRG6:1400:B(2)V[e(B(2))(A(2))34220pe(B(2))134220veʅe TRINOMIAL INPUT eˆWK%0:RI$""ë3:249,8:10:"COMPLETE the SQUARE":249,7e5:9:7,34:8,7:3:38387eꈒ0:36000:):B(3)B(2)B(2) d.CO3:I3:48007d8" = (X ";:CHCH6Od=A(2)A2%:B(2)2B2%bdBCO3:I2:4800qdL")";:700{dV1800d`MQ%1ıdjI(SW)(I(SW)1)(I(SW)0):WK%0:RI$"":A(2)A2%:B(2)B2%dtdЄ COEFF. INPUT dڄR%34100,34200d350239,8:12:249,8:"The answer is ..."Nc14:4:249,7:5:S1$;:3:CV14:C%104^c" X";:700~c W0ĺ" + 2(";:CH15:33040c " - 2(";:CH15cA2%A(2):A(2)(A(2)):B2%B(2):B(2)(2B(2))cCO0:I2:4800c")X ";:CHCH3 d$A(3)A(2)A(2XbDz17:"2";:21:"4";:38:"2":3:"2)FRACTIONS: X + -X + .. = (X +..)":21:"3":::}b {3:8:"COMPLETING the SQUARE":b} EXAMPLE b }AA(2)A(2):BB(2)B(2)b}34000b}33000b(}A(2)AA(2):B(2)BB(2):RI$"Y"b2}b耲 ANSWER #c10:au30020ay ASGNT (1) 'a"y31500Ia'y5:7:7,35:8,7:3:38387:0~a,y6::08:"X";:700:" + bX + ..= (X + ..)";:700a@y249,7:3:239,6aJy11:31200aTy15:31300ayay17:"2";:38:"2":3:"1)INTEGERS: X + 5X + .. = (X +..)":::`:`0u CHAPTER 1 (VOL.II) ,`5uRI$"Y"ı;`6u216,0:0F`:u21000Q`Du25000Z`FuFA1w`Xu34000: GET THE ANSWER.`buK%230080`guFA0:(PC)FA1:PC0`lu35080: PROBLEM @ BOTTOM`vu30050`u(FA)İ56005`u55000:28000: RIGHT             R3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)s{(RZTZ:NB0:CM(0):A(0):AAA(0):A21){(RZTZ:NB0:CM(0):A(0):AA INCREMENT COMPLETIONS ]zTZSW:RZSWxzF11:J10:CP4:CM(0)z(A$(RZ),F1,1)(13)F1F11:60140zJ1J11:J1CPF1F11:60140zF2F11z (A$(RZ),F2,1)(13)F2F21:60170Z{40!yJ1J11:J1CPF1F11:60040-yF2F11Wy(A$(RZ),F2,1)(13)F2F21:60070yR3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)yRZTZ:CM(0):Mz uare of the 2nd term.":XS%0:EZ%0:'xx` INCREMENT ATTEMPTS xtTZSW:CM(0):RZSWx~F11:J10:CP5x(A$(RZ),F1,1)(13)F1F11:600):4600:KF%KF%K%:-w׭ZK%3EZ%İ55500:EZ%07wذ4500BwhK%1:ewع249,8:1:"O.K., ";M$(SW);","swحSD%Č867wؖ1:"now combine the last terms.":249,7:PCFA:w0FA0:1:"You forgot the last term.":XT%0:EZ%0:!xFA0:1:"Subtract the sq:KK$KK$FT$(2):KK%KK%1:7vKK$KK$FT$(2):KK%KK%1:UvͭEV%(1)SK$FT$(1):SK%1bvͰ52200:vEZ%KK%SK%0:XU%XT%2XS%v<׭EZ%İ27400:XU%55600,55700vP׭XU%EZ%İ27000:XU%55600,55700wׁI1ZK%ED%:UAA(I):VBB(I):U$AA$(I):V$BB$(IK%SK%2:&uSK$SK$FT$(3):SK%SK%1:EuSK$SK$FT$(2):SK%SK%1:duʹEV%(10)52510,52520,52530uSK$SK$FT$(2):SK%SK%1:KK$KK$FT$(3):KK%KK%1:u2KK$KK$FT$(3):KK%KK%1:uxʹEV%(10)52610,52620,52630,52640vSK$SK$FT$(3):SK%SK%1K$FT$(2):SK%1:%tSK$FT$(1):SK%1:+tXʱKt ZK%3:1ES%(1)52100,52700`tKK$FT$(1):KK%1qt˭EV%(10)2ıt̴ES%(10)52300,52400,52500,52600tLKK$KK$FT$(2)FT$(3):KK%KK%2:t̴EV%(10)52410,52420,52430,52440uSK$SK$FT$(2)FT$(3):SKK%1:-sȭ(EV%(2)EV%(6))KK$FT$(2):KK%1:Ks ȭEV%(1)SK$FT$(1):SK%1dsȭEV%(2)XT%1:51250vsȭEV%(6)XS%1|s2ȱsdKK$FT$(1):KK%1snȭEV%(7)SK$FT$(2):SK%1sȱsȴEV%(0)51500,51600,51700,51800s,SK$FT$(1)FT$(2):SK%2:tS,":FT$(2)" 3rd,":FT$(3)" last "=rED%BB(2)BB(3)AA$(3)""]rDŴ1(AA$(3)"")51000,52000hrū55000r8ZK%2:ES%(0)51100,51200,51300,51400rǭ(EV%(2)EV%(6))KK$FT$(1)FT$(2):KK%2:rǭEV%(2)XT%1:51150rǭEV%(6)XS%1sKK$FT$(1):%(6)ES%(5))7q|EV%(9)(EV%(3)EV%(2))(EV%(5)EV%(6))dqES%(9)(ES%(3)ES%(2))(ES%(5)ES%(6))qEV%(0)1EV%(1)2EV%(7)qES%(0)1ES%(1)2ES%(7)qEV%(10)1EV%(4)2EV%(8)3EV%(9)qES%(10)1ES%(4)2ES%(8)3ES%(9)rFT$(1)" 2nd%(5)AA(3)BB(3)V(2)4p6ES%(5)(AA(3)BB(3))(V(2))Pp@EV%(6)AA(2)BB(2)V(3)rpJES%(6)(AA(2)BB(2))(V(3))pTEV%(7)AA(2)BB(2)V(4)p^ES%(7)(AA(2)BB(2))(V(4))phEV%(8)(EV%(2)EV%(3))(EV%(6)EV%(5)) qrES%(8)(ES%(2)ES%(3))(ES!oV(9)V(5)V(5):V(10)V(6)V(6)SoV(1)V(5)V(6):V(2)V(9)V(10):V(3)V(7)V(8)oV(4)(V(8)V(9)V(10)V(7))(V(8)V(10))oāI14oEV%(I)AA(I)BB(I)V(I)o"ES%(I)(AA(I)BB(I))(V(I)):o'ES%(4)(ES%(2)ES%(3))(ES%(5)ES%(6))p,EV1"RI$"":30000:nژG$"2"ı.nߘG$"3"ī8499n䘫39060NnPò EVALUATION jnZDN%BB(1)BB(2)BB(3)0ndíDN%ġ:27000:27500nAA(4)AA(2)BB(3)AA(3)BB(2):BB(4)BB(2)BB(3)nV(5)A(2)B(1):V(6)2A(1)B(2)nV(7)A(3)B(1):V(8)A(1)B(3)249,7:" to:"::qmv249,7:5:"[1] Do ";:249,7:11:" more questions of the":249,7:9:"same type"::249,7m5:"[2] Return to the Main Menu"::m5:"[3] Exit":249,8:::m18:8:"Press 1, 2, or 3. ";m26:850:26:G$;nИG$"$(3)"":38190lLN(3)LN1,lI3:CO3:CC16l2800Ll.1500:239,11:10Rl8klX END OF SESSION lb::3:11:10:249,8:"JUST ONE MOMENT...":0:409:::MS$" END of SESSION ":1000:5:9:249,7ml"Now, would";:249,8:18:"you like";:39,8:CV2010(WK%0):C%CV88@kCV:2:5:S1$;:3:" = ";:CH8PkR%138060qkCO1:I1:4800:"[";:CHCH1}k"(X ";kLN(1)CH3kC80:I1:CO3:2220kޔLN(2)LN3kI2:CO3k锭PM1İ2800:38123kC80:2220k딭PM138140 lAAjDG137701,37710,37720,37730(jE380804jN" ";BjX" ]";:Sjb" ";:37720tjG137801,37810,37820,37830j38120j" ";j" ]";:jƓ" ";:37820jp ANSWER INPUT jzI13:AA(I)0:BB(I)1:AA$(I)"":BB$(I)""::CC0k21,37210,37220,37230iQ38080'iZ" ";Aid")";:700:" ...";:Rin" ";:37220]iG0ıhi38080siG0ı~i38120i|I37600,37700,37800iG137601,37610,37620,37630iᒫ38080i꒺" ";i")";:700:" ... ]";:i" ";:376200:CO0h38000h&50000h:;h FORM aX^2 + bX + c ThAA(1):BA(2):CA(3)mhDB(1):EB(2):FB(3)hCV6:C%40:CH14:CV:CHhÌ249,7:0hȌ15000:3hҌh PAREN SPACE hR%37100,37500h쐴I37200,37300,37400iPG13720gB(1)A(1)34200gʅ4g TRINOMIALS INPUT EgˆWK%0:RI$""ng̈3:249,8:10:"COMPLETE the SQUARE"g5:12:7,31:8,7:3:38387gꈰ36000gG$"E"ıgRI$"Y"RI$"":35020hK%0:KF%0:KK$"":KK%0:SK$"":SK%0:FK$"":FK%0:CK%f΁"]"f؁1800:K%0!fMQ%1ıLfI(SW)(I(SW)1)(I(SW)0):WK%0:RI$""RfffЄ COEFF.INPUT zfڄR%34100,34200f35000f4A(1)1:B(1)1f>I23fH1400:A(I)VfRB(I)1ff:fI13f1400:A(I)VfRG6:1400:B(I)Vf11:CO1:I1:4800:"[(X ";:CHCH4OeCO3:UB(1)A(2):V2A(1)B(2):4000:4200le")";:700:" ";:CHCH3eUB(1)B(1)A(2)A(2)A(1)B(3)4A(1)A(1)B(2)B(2)B(1)A(3)eV4A(1)A(1)B(2)B(2)A(1)B(3)eCO3:4000:4200eāR%133240CH3$d.CO3:UUU:VVV:4000:42006d8" ";:CHCH1cdBCO3:UB(1)A(3):VA(1)B(3):4000:4200sdLR%133120|dV"]"d`1800dj16:1:"Then combine the last terms:"d~19:9:249,7:"= ";dCV19:C%144:R%1ĺ"(X ";:CH14:33180 eCHc2}c耲 ANSWER Ac9:239,8:12:249,8:"The answer is ..."ac12:239,8:9:249,7:"= ";cCV12:C%88:R%1ĺ"(X ";:CH14:33050cCH11:CO1:I1:4800:"[(X ";:CHCH4cCO3:UB(1)A(2):V2A(1)B(2):4000:4200d$")";:700:" ";:CH:"3";:34:"2":3:"2)Advanced: -X +-X+- = -[(X+..) +..]":15:"2";:19:"5";:22:"3";:26:"2":::b {3:8:"COMPLETING the SQUARE":b} EXAMPLE b }I13:AA(I)A(I):BB(I)B(I):b}34000b}33000b(}I13:A(I)AA(I):B(I)BB(I)::RI$"Y"5:7,37:8,7:3:38387:0Pa,y6:06:"aX";:700:"+bX+c = a[(X +..)";:700:" +..]ea@y249,7:3:239,6taJy12:31200aTy15:31300ayay3:"1)Easy: X";:700:"+5X+9 = (X+..)";:700:"+ ..":::dbDz15:"3";:17:"2";:19:"6";:22:"5";:26`u`0uCHAPTER2(VOL.II) (`5uRI$"Y"ı=`:u21000: ASSIGNTH`Du25000Q`FuFA1\`Xu34000l`buK%230080`guFA0:(PC)FA1:PC0`lu35080`vu30050`u(FA)İ60100`u60000:28000: RIGHT`u30020`y ASGNT (2) `"y31500a'y5:             39n|:3" =" = (-A- A (-A- A9n|:3" =" = (-A- AA-A- A(0)+y(A$(RZ),F1,1)(13)F1F11:60140MyJ1J11:J1CPF1F11:60140YyF2F11y (A$(RZ),F2,1)(13)F2F21:60170yR3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)y(RZTZ:NB0:CM(0):1):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)TxRZTZ:CM(0):x INCREMENT COMPLETIONS xTZSW:RZSWyF11:J10:CP6:CMMPTS KwtTZSW:CM(0):RZSW^w~F11:J10:CP7w(A$(RZ),F1,1)(13)F1F11:60040wJ1J11:J1CPF1F11:60040wF2F11w(A$(RZ),F2,1)(13)F2F21:60070@xR3$(A$(RZ),F11,F2F1ɖ1:"now combine the last terms.":249,7:PCFA:dv0FA0:1:"You forgot the last term.":XT%0:EZ%0:vFA0:1:"Subtract 2nd term squared over the 1st.";:XS%0:EZ%0:v3w` INCREMENT ATTEXT%2XS%)u<׭EZ%İ27400:XU%55600,55700NuP׭XU%EZ%İ27000:XU%55600,55700uׁI1ZK%ED%:UAA(I):VBB(I):U$AA$(I):V$BB$(I):4600:KF%KF%K%:u׭ZK%3EZ%İ55500:EZ%0uذ4500uhK%1:uع249,8:1:"O.K., ";M$(SW);","uحSD%Č867-vSK%SK%1:KK$KK$FT$(3):KK%KK%1:@t2KK$KK$FT$(3):KK%KK%1:etxʹEV%(10)52610,52620,52630,52640tSK$SK$FT$(3):SK%SK%1:KK$KK$FT$(2):KK%KK%1:tKK$KK$FT$(2):KK%KK%1:tͭEV%(1)SK$FT$(1):SK%1tͰ52200:uEZ%KK%SK%0:XU%S%(10)52300,52400,52500,52600AsLKK$KK$FT$(2)FT$(3):KK%KK%2:fs̴EV%(10)52410,52420,52430,52440sSK$SK$FT$(2)FT$(3):SK%SK%2:sSK$SK$FT$(3):SK%SK%1:sSK$SK$FT$(2):SK%SK%1:sʹEV%(10)52510,52520,52530!tSK$SK$FT$(2):r2ȱrdKK$FT$(1):KK%14rnȭEV%(7)SK$FT$(2):SK%1:rȱ^rȴEV%(0)51500,51600,51700,51800|r,SK$FT$(1)FT$(2):SK%2:rSK$FT$(2):SK%1:rSK$FT$(1):SK%1:rXʱr ZK%3:1ES%(1)52100,52700rKK$FT$(1):KK%1r˭EV%(10)2ıs̴E0)51100,51200,51300,51400Gqǭ(EV%(2)EV%(6))KK$FT$(1)FT$(2):KK%2:`qǭEV%(2)XT%1:51150rqǭEV%(6)XS%1qKK$FT$(1):KK%1:qȭ(EV%(2)EV%(6))KK$FT$(2):KK%1:q ȭEV%(1)SK$FT$(1):SK%1qȭEV%(2)XT%1:51250qȭEV%(6)XS%12EV%(7)#pES%(0)1ES%(1)2ES%(7)JpEV%(10)1EV%(4)2EV%(8)3EV%(9)qpES%(10)1ES%(4)2ES%(8)3ES%(9)pFT$(1)" 2nd,":FT$(2)" 3rd,":FT$(3)" last "pED%BB(2)BB(3)AA$(3)""pDŴ1(AA$(3)"")51000,52000pū55000q8ZK%2:ES%(V%(7)AA(2)BB(2)V(4)5o^ES%(7)(AA(2)BB(2))(V(4))bohEV%(8)(EV%(2)EV%(3))(EV%(6)EV%(5))orES%(8)(ES%(2)ES%(3))(ES%(6)ES%(5))o|EV%(9)(EV%(3)EV%(2))(EV%(5)EV%(6))oES%(9)(ES%(3)ES%(2))(ES%(5)ES%(6))pEV%(0)1EV%(1))V(10))nāI14,nEV%(I)AA(I)BB(I)V(I)Pn"ES%(I)(AA(I)BB(I))(V(I)):{n'ES%(4)(ES%(2)ES%(3))(ES%(5)ES%(6))n,EV%(5)AA(3)BB(3)V(2)n6ES%(5)(AA(3)BB(3))(V(2))n@EV%(6)AA(2)BB(2)V(3)nJES%(6)(AA(2)BB(2))(V(3))oTE00:27500:mAA(4)AA(2)BB(3)AA(3)BB(2):BB(4)BB(2)BB(3)^mV(5)A(2)B(1):V(6)2A(1)B(2)vmV(7)A(3):V(8)B(3)mV(9)B(1)A(2)A(2):V(10)4A(1)B(2)B(2)mV(1)V(5)V(6):V(2)V(9)V(10):V(3)V(7)V(8)nV(4)(V(8)V(9)V(10)V(7))(V(8"[2] Return to the Main Menu"::?l5:"[3] Exit":249,8:::al18:8:"Press 1, 2, or 3. ";wl26:850:26:G$;lИG$"1"RI$"":30000:lژG$"2"ılߘG$"3"ī849l䘫39060lPò EVALUATION lZDN%BB(1)BB(2)BB(3)0mdíDN%ġ:2701:10:249,8:"JUST ONE MOMENT...":0:409:::MS$" END of SESSION ":1000:5:9:249,7kl"Now, would";:249,8:18:"you like";:249,7:" to:"::kv249,7:5:"[1] Do ";:249,7:11:" more questions of the":249,7:9:"same type"::249,7l5:0jAA$(3)"":38190"jLN(3)LN14jI3:CO3:CC1>j2800Jj,38180ujPOKE239,1:POKE37,C%:CH=LN+1:GOSUB2000jIFNQTHENNQ=5:GOTO29000j$IF(ES+NZ+TL)THENAA$(3)="":GOTO38150j.1500:239,11:10j8jX END OF SESSION Ukb::3:1(I)0:BB(I)1:AA$(I)"":BB$(I)""::CC0Ki239,8:CV2010(WK%0):C%CV88piCV:6:5:S1$;:3:" = ";:CH12iCO1:I1:4800i"(X ";iLN(1)CH3iI1:CO3:2220iޔLN(2)LN3iI2:CO3i锭PM1İ2800:38123iꔰ2220i딭PM13814Ì249,7:0hȌ15000:3hҌ1h PAREN SPACE Jh쐴I37200,37300,37400khPG137201,37210,37220,37230vhQ38080hZ" ";hd")";:700:" ...";:hn" ";:37220hG0ıh38080hG0ıh38120hp ANSWER INPUT %izI13:AA7 gꈰ36000gG$"E"ı2gRI$"Y"RI$"":35020sgK%0:KF%0:KK$"":KK%0:SK$"":SK%0:FK$"":FK%0:CK%0:CO0~g38000g&50000g:g FORM aX^2 + bX + c gAA(1):BA(2):CA(3)gDB(1):EB(2):FB(3)gCV6:C%40:CH14:CV:CHhf35000f4I13#fH1400:A(I)V.fRB(I)16ff:AfI13Rf1400:A(I)VhfRG6:1400:B(I)VnffB(1)A(1)34200fʅf TRINOMIALS INPUT fˆWK%0:RI$""f̈3:249,8:10:"COMPLETE the SQUARE"f5:12:7,31:8,7:3:38384000:4200%e")";:700:" ";:CHCH3VeUB(1)A(2)A(2)B(3)4A(1)B(2)B(2)A(3)reV4A(1)B(2)B(2)B(3)eCO3:4000:4200e؁1800:K%0eMQ%1ıeI(SW)(I(SW)1)(I(SW)0):WK%0:RI$""eeЄ COEFF.INPUT eڄR%34100,34200B(1)A(2)A(2):V4A(1)B(2)B(2):4000:4200>d8" ";:CHCH1QdBCO3:I3:4800[d`1800dj16:4:"Then combine the last terms:"d~19:9:249,7:"= ";dCV19:C%144dCH11:CO1:I1:4800:"(X ";:CHCH3eCO3:UB(1)A(2):V2A(1)B(2):I)::RI$"Y"c2}c耲 ANSWER Mc9:239,8:12:249,8:"The answer is ..."mc12:239,8:9:249,7:"= ";}cCV12:C%88cCH11:CO1:I1:4800:"(X ";:CHCH3cCO3:UB(1)A(2):V2A(1)B(2):4000:4200c$")";:700:" ";:CHCH3,d.CO3:U"5";:27:"3";:34:"2"pbNz3:"2)Fractions: -X +-X+- = -(X+..) +..":16:"2";:20:"5";:23:"3";:27:"2":::b {3:8:"COMPLETING the SQUARE":b} EXAMPLE b }I13:AA(I)A(I):BB(I)B(I):b}34000b}33000 c(}I13:A(I)AA(I):B(I)BB(y5:5:7,37:8,7:3:38387:0Ta,y6:07:"aX";:700:"+bX+c = a(X +..)";:700:" +.."ia@y249,7:3:239,6xaJy11:31200aTy15:31300ayay:3:"1)Integers: 3X";:700:"+ 5X + 9= 3(X+..)";:700:"+..":::bDz16:"3";:18:"2";:20:"6";:23:``0u CHAPTER 3 (VOL.II) -`5uRI$"Y"ıB`:u21000: ASSIGNTM`Du25000V`FuFA1a`Xu34000q`buK%230080`guFA0:(PC)FA1:PC0`lu35080`vu30050`u(FA)İ60100`u60000:28000: RIGHT`u30020`y ASGNT (3) `"y31500a'          (0):39n|:3" =" = (-A- A- A- A(13)F2F21:60170~R3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)~(RZTZ:NB0:CM(0):39n|:3" =" = (-A- AP10:CM(0)3}(A$(RZ),F1,1)(13)F1F11:60140U}J1J11:J1CPF1F11:60140a}F2F11} (A$(RZ),F2,1)(13)F2F21:60170}R3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)~(RZTZ:NB0:CMF1F11:60040-|J1J11:J1CPF1F11:600409|F2F11c|(A$(RZ),F2,1)(13)F2F21:60070|R3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)|RZTZ:CM(0):||TZSW:RZSW }F11:J10:C$(I):VV%(I):V$V$(I):4600:KF%KF%K%:ZK%2:1{2ұ^{֢10:1:249,8:"O.K. ";M$(SW);:SD%Č867z{ ׺", go ahead!":249,7:{ؖ7:"[ Press V if you need a ";RV$;" ]":{{`{tTZSW:CM(0):RZSW{~F11:J10:CP11 |(A$(RZ),F1,1)(13)S)(W%(I)(SS))53730zтS:GzRD$RD$FT$(I):RD%RD%1:LR%(RD$)1MzѱzѭKK%0SK%0FK%0RD%Ĺ249,8:1:"Please, ";M$(SW)".":249,7zѭRD%0FA0:1:"Simplify the";(RD$,LR%);" radical";:RD%2ĺ"s";zѭRD%0ĺ"."zұ+{(UU%(I):U$U2K%1:FA0:yа53700:538002yЭEV%(0)ES%(0)ıCyа4500:53750NyK%1:wyFA0:1:"Please check the signs.":y`FA0:1:"Please correct";(KK$,LK%);" solution";:KK%2ĺ"s.";:yjѺ".";:yѭW%(I)1W$(I)""53730zсS225:W%(I)(S(1)EV%(2)(xlϭES%(0)SK%1:27000:53500dxϭEV%(0)ES%(0)āI12:53400::EZ%SK%RD%FK%0:53440x4ЭEV%(4)KK$FT$(1):KK%1:I2xfЭEV%(5)KK$FT$(2):KK%1:I1xpЭEV%(6)KK$FT$(1)FT$(2):KK%2xzEZ%0:LK%(KK$)1:27000 yЭKK%İ53600:KK% 2nd,"1wEV%(1)U%(1)U%(1)W%(1)(V%(1)V%(1))XX_wEV%(2)U%(2)U%(2)W%(2)(V%(2)V%(2))XXxw&EV%(3)U%(1)U%(2)0w0EV%(0)EV%(1)EV%(2)EV%(3)w:ES%(0)EV%(1)EV%(2)EV%(3)wDEV%(4)EV%(2)EV%(1)wNEV%(5)EV%(1)EV%(2)xXEV%(6)EV%) v˫51150(v˭BB(1)1BB$(1)""SQ%1:UvˁS((BB(1)))21:BB(1)SSSQ%1:S2^v˂S:v˰55000:55500:1:"Remember to RATIONALIZE the denom-":"inators before entering your answer.":vXXA(2)B(1)(A(1)B(2))w FT$(1)" 1st,":FT$(2)"52150:SQ%EZ%İ55000::55500[u,UAA(1):VBB(1):U$AA$(1):V$BB$(1):4600:KF%KF%K%:ZK%1zuɭKF%2EZ%ĴCK51800,52200uɰ4520uK%1:uXʰ55000:u EV%(1)AA(1)BB(1)A(2)B(1)(B(2)A(1))uES%(1)(AA(1)BB(1))(A(2)B(1)(B(2)A(1))DN%İ27000:27500.tôCK51000,52000,53000,53000Pt8EV%(1)AA(1)BB(1)A(2)B(2)xtES%(1)(AA(1)BB(1))(A(2)B(2))tFT$(1)" last "tȭES%(1)EV%(1)SK$FT$(1):SK%1tdȭES%(1)KK$FT$(1):KK%1tEZ%KK%SK%0tȭEZ%İ27400uɭCK2":249,8:::-s18:8:"Press 1, 2, or 3. ";Cs26:850:26:G$;_sИG$"1"RI$"":30000:msژG$"2"ı~sߘG$"3"ī849s䘫39060sPò sZKK$"":SK$"":KK%0:SK%0:KF%0:K%0:FK$"":FK%0:RD$"":RD%0:SQ%0tDN%BB(1)BB(2)V%(1)V%(2)0: END of SESSION ":1000:5:9:249,7brl"Now, would";:249,8:18:"you like";:249,7:" to:"::rv249,7:5:"[1] Do ";:249,7:11:" more questions of the":249,7:9:"same type"::249,7r5:"[2] Return to the Main Menu":: s5:"[3] Exitz#   ҠŠ̠Ԡ̠̠Ҡ Ҡ Ҡ Šɠ9 ǠҠҠҠɠ  Ӡɠ̠ɠӠɠ Ӡ Ҡ!Ҡ Ҡ ƶϠ Ϡ Š ӠҠ̠ɠɠ  Ԯ ҠРԠ               + 2nd 1st solution 376 + 1 6 - 337  -- 37 + 1 376 - - 13731 CHAPTER 6 CHAPTER 64 0 0 0 0 0 0 0 0 0 0 0 0 0 COLE PETER 2 2 0 0 0 0 0 0 0 0 0 0 COLE PETER 2 2 0 0 0 0 0 0 0 0 0 0000000000022PETERCOLE COLE COLEPETER1 D       Ѐ P( 7X> XۋXX>  . *iՀ ր ׀ %%LN> XH( S: /: :B:F( ggtBB> A( :k<B( hhhU( 4iV( 3!iW( L> A> @B> AA> @ *U*  A( R#nM( ӉL( ʉI>  W1CN(C7C8L1LMRgPgFA LHXL,Q4ĉZ4ȀL1LVTTTLTLPLU@LWLRPGNNQ΀ESRTPMNXN2TLNZRDETLı%IJDDU1 U2V1V2SPSWրV=LVVN@D1D2DCHÀCOWˀK SgF}gCKLNXU*W%P-WT#TL2SLL1L ĀXPGS؉ӀYpABCDtGGpHHMAAωIΉTTAiQiT6FFQ1UV@CV RjgB B B ԀȀJǀ̀RG ҀRN~ ?DȉICSSS SSRLRB H@P  R߉R݉QىI@KTCT Z"II`NNM >    08840$088680066@@8608868@086@ $ȘH0hh`8Ѕ0L8Ѕ L8 L8ЅL9000:VT%12:39950MoȖ249,8:3:"Now compute the TWO solutions:":249,7:33600oo,3:239,1:C%154:CV20:37,C%|o6"X = ";o@LN(1)5oJCK8:I1:2240oT239,1:37,C%o^19:"or X = ";ohLN(2)27orI2:2240o|1500o::30900,p2or prior entering your answer:"Bn239,1:249,7:CV20:C%154:37,C%OnLN(1)20\n14:Q$;hn" = ";{nI1:CK6:2230n1500:239,11:10:50000nK%1Ģ12:16:"D = ";:CO3:UD1:VD2:CH20:CH:C%121:4000:4200:38530nK%038530o3:VT%12:39950m\G%0K%2:,m_G%138800Vmd9:249,7:11:"Please compute ";Q$:{mn8:"Press V if you need a ";RV$msV$""V138530mtSQ%0:S((V))21:VSSSQ%1:S2munxSQ%Ė4:"but remember to RATIONALIZE the":"denominat00[lP239,11:11:249,7:1:"How many REAL SOLUTIONS":1:"do you expect? ";:850:N$G$:660vlUG%(G$"1")2(G$"2")lVNQNQ14:29000lWG%0G$"0"38480lZG$::(G%0D0)(G%1D0)(G%2D0)İ39500:VT%16:39950:38470 m[15:39010ase compute the DISCRIMINANT:"Ak33660:239,8:CV20:CV:C%CV88NkLN(1)20_k 16:"D = ";wkI1:CO0:CK4:2220kPM138435kAA$(2)"":38450k#LN(2)LN1k$I2:CO3:CK5k%2800k21500:239,11:10:50000k`DwFA1P`Lw30700:35000``VwK%230910k``w35080v`jw30550`tw30910`w38700:30900: ENTRY FROM BASE II AFTER AT LEAST ONE CALL TO EVA PROGRAM!aw239,8:15:10:"One moment, please...":          56200~ڂ~ۭK%0K%2~۱E~$FA0:1:"Please check the sign.":s~PCFA:1:"Please reduce the fraction.":Aon.":Aion.":Ae the fraction.":Ae REDUCE the fraction.":A1))(A(2)B(1)(2A(1)B(2)))I}EV%AA(1)BB(1)A(2)B(1)(2A(1)B(2))a}ڭES%K%1:27000:}ڭES%EV%K%1:27000:56100}ڭBB$(1)""56080}ڭBB(1)1K%1:56200:~ځN211:((AA(1)N))(AA(1)N)((BB(1)N))(BB(1)N)N11:K%1:RD%Ĺ249,8:1:"Please, "M$(SW)".":249,7:SD%Č867N|խRD%0Ė1:"Reduce the ";^|խCK654758u|PCFA:(RD$,LR%);|խRD%0ĺ"RADICAL";:RD%2ĺ"S";|պ".":|UU%(I):U$U$(I):VV%(I):V$V$(I):4600:KF%KF%K%:ZK%2:|ֱ}ES%(AA(1)BB({ӭES%(0)SK%1:27000:392205{"Ӱ54700:54800:ZK%1K{,EZ%SK%RD%FK%0\{6Ӱ4500:54750g{@K%0:{խW%(I)1W$(I)""54730{ՁS225:W%(I)(SS)(W%(I)(SS))54730{ՂS:{RD$RD$FT$(I):RD%RD%1:LR%(RD$)1{ձ0|խSK%0FK%0ϭEZ%İ27400zρI12VzϭES%(I)UAA(I):VBB(I):U$AA$(I):V$BB$(I):4600:KF%KF%K%|zς:KF%4EZ%İ39000:39400:K%1:zϭSK%0İ4520zK%1:zEV%(1)U%(1)U%(1)W%(1)(V%(1)V%(1))(D)zES%(0)U%(1)0EV%(1)zӭEV%(1)İ27000:K%1:BB(2)AA(2)BB(1))(BB(1)BB(2))DQyXϭEV%(3)(ES%(1)ES%(2))İ39000:39400:K%1:ybϭES%(3)(ES%(1)ES%(2))İ27000:39220:K%1:ylρI12yvϭES%(I)KK$KK$FT$(I):KK%KK%1yϭES%(I)EV%(I)SK$SK$FT$(I):SK%SK%1yςyEZ%KK%SK%0 z))(A(2)A(2)(B(2)B(2)))PxES%(2)(AA(2)BB(2))((4A(1)A(3))(B(1)B(3)))x&ES%(3)((AA(1)BB(2)AA(2)BB(1))(BB(1)BB(2)))(D)x0EV%(1)AA(1)BB(1)A(2)A(2)(B(2)B(2))x:EV%(2)AA(2)BB(2)(4A(1)A(3))(B(1)B(3))yDEV%(3)(AA(1)B(3))w\EV%(3)AA(1)BB(1)DFw˭ES%(1)ES%(2)ES%(3)0İ27000:K%1:QwˁI12w˭ES%(I)EV%(3)İ27000:39100:39200:K%1:I2::w˂w˭ES%(3)EV%(3)İ27000:39220:39300:K%1:w˭EV%(3)İ39000:39300:wϲ2TERMSxES%(1)(AA(1)BB(1vǰ4520:K%1:v ˲1TERMMv*ES%(1)(AA(1)BB(1))(A(2)A(2)(B(2)B(2)))v4ES%(2)(AA(1)BB(1))((4A(1)A(3))(B(1)B(3)))v>ES%(3)(AA(1)BB(1))(D)vHEV%(1)AA(1)BB(1)A(2)A(2)(B(2)B(2))wREV%(2)AA(1)BB(1)(4A(1)A(3))(B(1)V%(I)AA(I)BB(I)A(I)B(I)>u`ǭES%(I)KK$KK$FT$(I):KK%KK%1kujǭES%(I)EV%(I)SK$SK$FT$(I):SK%SK%1qutǂu~EZ%KK%SK%0uǭEZ%İ27400uZK%3:I13uǭES%(I)UAA(I):VBB(I):U$AA$(I):V$BB$(I):4600:KF%KF%K%uǂ:KF%6EZ%K%2:"":KK%0:SK%0:KF%0:K%0:FK$"":FK%0:RD$"":RD%0:PU$"":PU%0ltDN%BB(1)BB(2)BB(3)0:DN%İ27000:27500tFT$(1)" 1st,":FT$(2)" 2nd,":FT$(3)" 3rd,"tôCK251000,52000,53000,54000,56000t8ǁI13tLES%(I)(AA(I)BB(I))(A(I)B(I))uVEEAL square roots.":0s`(D0)2(D0)39521,39512osa1:"D is NEGATIVE so it has":1:"no REAL square root.":sj(D0)2(D0)39521,39511s0:VT%:8,21:38312:16:3:s24:1200:24000:39927:239,11:10:sPò EVALUATION =tZKK$"":SK$6rPCFA:249,7:1:"Please combine these two terms:":UrL249,7:1:"No, "M$(SW)"."qrQG%139510,39520,39530rV(D0)2(D0)39511,39512rW1:"D is ZERO so it has":"only ONE REAL square root (0).":sX1:"D is POSITIVE so it has":"TWO RFA0:1:"You forgot the";(FT$((I2)2(I1)),4);" term.":Nq EV%(I)39210Tq!cq*239,8:16q4FA0:1:"Please check the sign.":qUAA(1):VBB(1):U$AA$(1):V$BB$(1):4600:KF%KF%K%qFK%0Ė1:PCFA:"Please reduce the fraction."q49,8:3:"Now compute the ONE solution:":249,77p33650fp239,1:C%154:CV20:37,C%:17:3:"X = ";sp̗LN(1)21p֗CK7:I1:2220p1500:239,11:10:50000pꗭK%2ıp38820pX239,11:10pb249,8:1:"O.K. "M$(SW)".":SD%Č867pl;qr X = ";(XX(2)100)100oغ:VoحEZ%Ĺ249,8:1:"O.K. ";M$(SW);".":249,7:SD%Č867oFA0:"Remove negative sign in denominator.":o0LK%(KK$)1:KK$(KK$,LK%)" solution":KK%2KK$KK$"s"obFA0:1:"Please correct";KK$".":.pKL%(SK$I)N(U%(I)N)U%(I)N(V%(I)N)V%(I)Nİ55950:N11 ̊=? (B ̊C`8e)` , e u==      z* Lf?ĠōI `ayLqHɵrims`aiȱȄ詷 ,詷 `iHhLꢩLҦ&:3" =" = (-A- AAions of the":249,7:9:"same type"::249,7SvX5:"[2] Return to the Main Menu"::svb5:"[3] Exit":249,8:::vl18:8:"Press 1, 2, or 3. ";vv26:850:26:G$;vG$"1"RI$"":30000:vG$"2"ıvG$"3"ī849v6207039n|B0:CM(0):#u0 END OF SESSION u:::3:11:10:249,8:"JUST ONE MOMENT...":0:409:::MS$" END of SESSION ":1000:5:9:249,7uD"Now, would";:249,8:18:"you like";:249,7:" to:"::)vN249,7:5:"[1] Do ";:249,7:11:" more questJ10:CP12:CM(0)9t(A$(RZ),F1,1)(13)F1F11:60140[tJ1J11:J1CPF1F11:60140gtF2F11t (A$(RZ),F2,1)(13)F2F21:60170tR3$(A$(RZ),F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21) u(RZTZ:N,F11,F2F11):U2$((R3$)1):A$(RZ)(A$(RZ),F1)U2$(A$(RZ),(A$(RZ))F21)`sRZTZ:CM(0):s INCREMENT COMPLETIONS sTZSW:RZSWtF11:REMENT ATTEMPTS VrtTZSW:CM(0):RZSWjr~F11:J10:CP13r(A$(RZ),F1,1)(13)F1F11:60040rJ1J11:J1CPF1F11:60040rF2F11r(A$(RZ),F2,1)(13)F2F21:60070LsR3$(A$(RZ)ion";:LF%4ĺ"s";q]ں".":FqFK$FK$FT$(I):FK%FK%1:LF%(FK$)1:rqPU$PU$FT$(I):PU%PU%1:UL%(PU$)1:qPCFA:1:"Simplify the";PU$;" numerator";:UL%4ĺ"s";qں".":>r` INC)1:SK$(SK$,KL%)" solution":SK%2SK$SK$"s"YpFA0:1:"Check the SIGNS in";SK$".":pPCFA:1:"Please reduce the";RD$;" radical";:LR%4ĺ"s";pٺ".":p*RD$RD$FT$(I):RD%RD%1:LR%(RD$)1:q\PCFA:1:"Please reduce the";FK$;" fractb vH%(1)042:H%(2)170,bvH%(3)085:H%(4)213Db vH%(5)127:H%(6)042b*vVT%(0)3:VT%(1)5:VT%(2)7:VT%(3)9:VT%(4)14:VT%(5)16:VT%(6)18b/vRV$(20)" ":RT$(21)" ":Q$(20)" D"b4v INIT HIRES b>v228,HC%: HCOLORbHv230,HG%: HG/PAGEauS2$(128)(32)(32)*auS3$S1$S1$S1$:auS4$S2$S2$JauS5$S1$S1$VauD$(4)cauR$(13)pauLA$(8)~auRA$(21)auBL$(32)auHC%127:HG%064:DE%080auLI%009:UL%000:OS%001auCI%010:NC%042:CA%010avRM%023:RN%001:BM%191``0u INTRO &`1uONERRGOTO610002`3uD$(4)]`4uA$(3),Q$(14),M$(3),LN$(3),Z$(14):IC1h`5u35584s`6u35816~`:u30060`Du30370`Nu63100:KT1:CT1:53000:(4);"CLOSE":35816`Xu31170`bu`lu INITIAL DATA `uS1$(127)(32)(32)     P;  `새 XLl```-2??'  $$$$d: $$$- $$$$ $$$$䷒* F` Ci a a`% ̊)()i)`$ e`( `$ ` % %` `,0`   $H h` %%-- -88$$-66?!$4, 8-6=-$/$? $?%%6=6-$?$-$$-?6-6?,`?6)$d ߮* ,----%$..?'>????7------77$J < ?(d% 6.----5>????7'<,.-----J $$$$666 $60(---%????,----$$$666 %%6II666.$$$,--5??7-M?w-?J)-...6'''' $$$5666--->>>>>!'---%???$>.----?)- ?-?7$,# -- $?6-$$$6-6)$< 0- $$RM`;56=6)$$< $$76n$,i!$6)- ?6-- ?66&)-6$$,?6$88,( M1> $ M1,`  ?? ?'!$$$-?) ? d-? -$$$$?)- 8)>?6*--% ,(-6v? $$6-6? d-? d-%466?!,(`??  ` ?)m $88)=6$$ 6?/-6$$$-?-? $d-?$$$-66?$$$--;/??$$$--;/- $d-/6??$$$M16?/-6>)=$$$=/- $$=/$$$6.(`8 $$$M:?#$$---(-?`-'666,((( 7%MV)<#`8((nv?`$/I d a $`%<hl7.,8? $-<'4>7- I ??7--!((((0 $d-66?)=$$$--??,(( ?- g KT_jy#-4?KR]foz?`r.59AHQXafnue` E `H ܌h`HHHHHH ' ]hhhhhh`H 0 h x  x X섈h` : ` W`H 0  8 8    h53130r:ϺD$;"READ STUDFIL,R";CTrDτQ$(1),Q$(2):Q$(1)LN$(I)Q$(2)M$(I)āII314:Q$(II):II:T6CT:CTNN1:52080:FF1:53070rIϫ53130rNQ10rXZ$Q$(1)rbρGG314:Q1Q1(Q$(GG)):GG:Q1100āHH314:Q$(HH)"0":HH:Y210 slρU214:Z$Z$( POKE REC NUMBER gqpTATA1:TA,T6:quˁI1S%:Q,I:QQ1:I:NN1:qϭCT1İ63100:Z$"":D$(13)(4):D$;"OPEN STUDFIL,L85"r&ϭKT1KT0:D$;"READ STUDFIL,R0":A$(0):NN(A$(0)):)"0":II:A$(I)A$(I)(13):NNNN1:VNN:63050NpH˂I:A$(0)(NN):V0:I0:63050gpR˺(4);"CLOSE":35816pk˭NN0āI1S%:A$(I)LN$(I)(13)M$(I):II112:A$(I)A$(I)(13)"0":II:A$(I)A$(I)(13):Ipm˱Rqo˲ URGE OPTION":"IS USED.":30550:50000)o4˱Uo7˭NN0NNS%:A$(0)(NN):52085:52075:ao9ˁI1S%qo:˭NN052034~o;ˁCT1NNo<˰53000o@˭FFFF0:A$(I)A$(I)(13):52040oA˂CT,pBT6NN1:52080:A$(I)LN$(I)(13)M$(I):II112:A$(I)A$(I)(13 ;n ˗::12:8:"ONE MOMENT, PLEASE...":TA933:0:Q934Fn%˰63100jn*˺(4);"OPEN STUDFIL,L85":52025n/˭NN51ERR9:3::(4)"CLOSE":35816:#o1˭ERR9ė::10:3:"THIS DISK IS FULL.":::"NO OTHER STUDENT FILES CAN BE":"SAVED UNLESS THE P DISPLAY SCORES m8Ǘ::405n˲ SAVE NAMES 40010l^(AN$)MAX40010IlhXX1:Y:X:IN$;:AN$AN$IN$:GGGG8:40010lrXX1:GGGG17:0:GGGGGG8:GG,HHGG,HH10::3:Y:X1:40010l(AN$)1AN$(AN$,(AN$)1):40050l(AN$)1AN$"":40050l40012lPâ10:9:3:rm7Dz Dk@16368,0:AN$"":IN$"":Y:X\kJTX:850:XT:IN$G${kKIN$(8)IN$(127)40082kLXRRXRRkNGGQQGGQQ:40010kOIN$(3)50000kTAN$""IN$(13)40010kWIN$(13)ılYIN$(AB)IN$(CD)problem in turn";j{249,08"j{23,j{12002j{j> GG&HH = HPLOT ERASE BOX PARAMETERS RR = LEFT BOUNDRY FOR X QQ = LEFT BOUNDRY FOR HPLOT ERASEBOX "k? INPUT RTN :1200i4{I1S%2iH{4I:8:"Thank you, "M$(I)"!"8iR{Ei\{15:900vif{17:4:"Would you like sound? (Y/N) ";:829ih{850:G$"Y"G$"N"31592ik{G$:SD%G$"Y"ip{S%1Ģ20:14:"GO AHEAD!";:31630iz{20:4:249,07j{"Please answer each 8387:3"hz7:4:"("I") ";:30700:4hz239,8:249,8whz22:7:"Is this correct? (Y/N) ";:850:G$"Y"G$"N"31460hzG$"N"Ģ9:3:7,39:8,22:0:38387:3:239,11:31270hz52000:5:4:7,33:8,15:0:38387:3:12:14:"GO AHEAD!":1750i {2 THREE students";gz5:249,8:9;gz"answering in turns.";Mg&z7:4:249,07wg0z"Please enter the number of users:";g:z850:S$G$:S%(S$)gNzS%1S%331270gXzS$;gbz7:3:WI%36:NC%0:978gz249,08gzI1S%hz8:4:7,39:8,22:0:3:"then press RETURN.":Y15:X12:Y:X:AB65:CD90:GG104:HH152:MAX15:40000Zfcfv254,UL%: UL CASEUcpv255,OS%: OSTRIKElczv249,CI%: CHR.INTcv227,NC%: NEXTCOLcv008,CA%: CHARcvcv LOGO cv36309,191cvI16cv228,H%(I)cv36,2I1cv37,2(I1) dv239,Ǣ1:1:7,40:8,24:0:38387:3:239,11::MAX15:7:1:249,08hǺ"Type the individual's last name":8:1:"and then press RETURN:":Y10:X12:Y:X:AB65:CD90:GG104:HH97:RR12:QQ104:40000:SL$AN$hMAX12[iǢ12:1:"Type the individual's first n(AN$)1AN$(AN$,(AN$)1):40012>g(AN$)1AN$"":40012Ig40012vgPCM(0)::(4);"CLOSE STUDFIL":10:9:g7Dz DISPLAY SCORES ;h17::0:GGGGGG8:GG,HHGG,HH10::3:40082;fLXRRXRRSfNGGQQGGQQ:40010gfOIN$(3)50000fTAN$""IN$(13)40010fWIN$(13)ıfYIN$(AB)IN$(CD)40010f^(AN$)MAX40010fhXX1:Y:X:IN$:AN$AN$IN$:GGGG8:40010"gQQ = LEFT BOUNDRY FOR HPLOT ERASEBOX e? INPUT RTN e@16368,0:AN$"":IN$""eJIN$:IN$(3)50000,fKIN$(8)IN$(127)XX1:GGGG SPACE BAR RTN dVw17:3:"(PRESS SPACE BAR TO CONTINUE)":16368,0dXwK$:K$(3)50000d[wK$" "30552d^w"e> GG&HH = HPLOT ERASE BOX PARAMETERS RR = LEFT BOUNDRY FOR X ::3:10:6:"** PURGING FROM FILE **":0:cv0::(4);"OPEN STUDFIL,L85"::(4);"READ STUDFIL,R0":NN::(4);"CLOSE STUDFIL"cvNN0ė::3:10:8:"** FILE IS EMPTY **":30550:50000cv30000MdUw 28:IN$:::10:4:3:"** PURGING ENTIRE FILE **"bgu0::(4);"OPEN STUDFIL,L85"::(4);"WRITE STUDFIL,R0":0::(4);"CLOSE STUDFIL"bju::3:8:1:"** ENTIRE FILE HAS BEEN PURGED **":30550:50000bu::3:10:8:"JUST ONE MOMENT...":0:*cv$(3)ī500001aFuIN$(49)IN$(50)IN$"":30020NaGuIN$:(IN$)30030,30050aaNu::3:51110:abu::3:10:8:"Are you sure? (Y/N) ":16368,0:IN$"":IN$:IN$(3)50000aduIN$(89)IN$(78)30050aeuIN$"N"Ģ10:28:IN$:50000/bfu10:` W`0u::3:6:4:"Would you like to DELETE:":8:4:"1) an INDIVIDUAL'S FILE":10:4c`2u50000k`5uR0`:u"2) the ENTIRE FILE":12:4:"Type the number of your choice":13:4:"and then press RETURN."`?u13:27:16368,0:IN$""`DuIN$ aEuIN   H i`???????/%---------%?????????'---------%?????????'---------%?????????7--------%????????'--------%????????'--------%????????7(8 5525;B;SS$SB;DAFGHMJS Յ}ȱȱ ΩBΩ iɰ`B---------------%???????????????'---------------%???????????????'---------------%???????????????/%-------------%?????????????'-------------%?????????????'-------------%?????????????/%-----------%???????????'-----------%???????????'-----------%????   N0CNWAA4ī50000"tf50000RtJ52015::(4);"WRITE STUDFIL,R";V:A$(I):~t|54,189:55,158:43603,240:43604,253:kCN0CNWA13)Q$(U):U)svA$(I)Z$:Y210VCT:63050gsϲ IF CT > = NN THEN PRINTD$;"CLOSE STUDFIL": CALL 35816msϱzs`::408sH(222)4ī50000sf50000sJ52015::(4);"WRITE STUDFIL,R";V:A$(I):s|54,189:55,158:43603,240:43604,253:kC(4);"CLOSE STUDFIL":SL$ZL$SF$ZF$ė::3:8:8:"STUDENT NOT ON FILE.":51150niǭR201YY201YY0:51215iǗ:3::1:2:ZL$;:", ";:ZF$:2:12:"Total points Problems":3:15:"scored attempted"iXX1:I16:I4Ă jǖ1:XX4:I;:".SF$AN$IhǗ::10:8:"ONE MOMENT PLEASE...":0::(4);"OPEN STUDFIL,L85"ihǺ(4);"READ STUDFIL,R0":NNhǁI1NN::(4);"READ STUDFIL,R";I:ZL$:ZF$:SF$ZF$SL$ZL$āII112:Z$(II):II:IINN:N91::(4);"CLOSE STUDFIL":YY201:51139PiǂI::l's last name":8:1:"and then press RETURN:":Y10:X12:Y:X:AB65:CD90:GG104:HH97:RR12:QQ104:40000:SL$AN${gMAX12hǢ12:1:"Type the individual's first name":13:1:"and then press RETURN:":Y15:X12:Y:X:AB65:CD90:GG104:HH152:40000:OF YOUR CHOICE":" AND THEN PRESS RETURN. > ";tfMAX1:AB49:CD52:Y14:X27:Y:X:GG225:HH140:RR27:QQ225:60000fǰ40000fǴ(AN$)51110,51210,51310,51410fǢ1:1:7,40:8,24:0:38387:3:239,11::MAX15:7:1:249,8pgǺ"Type the individuaL"e<Dze=Ǘ::3>eSǢ4:3:"DO YOU WISH INFORMATION FOR:"::eeVǺ"1) AN INDIVIDUAL TO THE SCREEN?"e`Ǻ"2) AN INDIVIDUAL TO THE PRINTER?"ejǺ"3) THE ENTIRE FILE TO THE SCREEN?"etǺ"4) THE ENTIRE FILE TO THE PRINTER?",f~Ǻ::" TYPE THE NUMBER 40012d40012;dPCM(0)::(4);"CLOSE STUDFIL":10:9:d7Dz DISPLAY SCORES d8ǒ0:NN((A$(0),1)):NN0ī51800d9Ǻ:(4);"CLOSE STUDFIRRcNGGQQGGQQ:40010,cOIN$(3)50000HcTAN$""IN$(13)40010YcWIN$(13)ıxcYIN$(AB)IN$(CD)40010c^(AN$)MAX40010chXX1:Y:X:IN$:AN$AN$IN$:GGGG8:40010c(AN$)1AN$(AN$,(AN$)1):40012d(AN$)1AN$"": INPUT RTN yb@16368,0:AN$"":IN$""bE60000bJIN$:IN$(3)50000bKIN$(8)IN$(127)XX1:GGGG17::0:GGGGGG8:GG,HHGG,HH10::3:40082cLXRRX =aVw17:3:"(PRESS SPACE BAR TO CONTINUE)":16368,0TaXwK$:K$(3)50000ga[wK$" "30552ma^wa> GG&HH = HPLOT ERASE BOX PARAMETERS RR = LEFT BOUNDRY FOR X QQ = LEFT BOUNDRY FOR HPLOT ERASEBOX ]b? `C`0u SCORES aUw SPACE BAR RTN       16368,0:IN$"":IN$:IN$(3)ī50000@mǭIN$"Y"IN$"N"51152amǭIN$"N"Ģ11:24:IN$:50000ymǢ11:24:IN$:30000mXʺ:(4);"CLOSE STUDFIL":::10:8:"FILE IS EMPTY.":30550:50000kCN0CNWe A:A$(I)""::kCN0CNWe Ae LsCnǗ:FIL,R0":R01::(4);"READ STUDFIL,R";R0lǁI114:Z$(I):I::(4);"WRITE STUDFIL,R";CT:I114:Z$(I):I::(4);"CLOSE STUDFIL"lǗ::3:10:12:"** DONE **":30550lǗ::3:10:5:"Do you wish to delete any":11:5:"other files? (Y/N) "#mhe file is:":9:4:ZL$;:",";:ZF$LkǢ11:4:"Is this correct? (Y/N)":IN$""UkǾIN$ikǭIN$(3)50000kǭIN$(78)IN$(89)IN$"":51142kǭIN$"N"Ģ11:27:50000&lǢ11:27:IN$:30210:935,CT::(4);"OPEN STUDFIL,L85"::(4);"WRITE STUDZF$:II112:Z$(II):II:SF$ZF$SL$ZL$CTI:IINN:N91:51139jǂI::(4);"CLOSE STUDFIL":SL$ZL$SF$ZF$ė::3:8:8:"STUDENT NOT ON FILE.":30550:51150 kǺ:(4);"CLOSE STUDFIL":::3:6:4:"The individual you want PURGED":7:4:"from tame":13:1:"and then press RETURN:":Y15:X12:Y:X:AB65:CD90:GG104:HH152:40000:SF$AN$iǗ::10:8:"ONE MOMENT PLEASE...":0::(4);"OPEN STUDFIL,L85":(4);"READ STUDFIL,R0":NN:R0NN:NN0ī51800>jǁI1NN::(4);"READ STUDFIL,R";I:ZL$:LOSE STUDFIL"aNuLOSE STUDFIL"'aNuE" STUDFIL"4:"b) Multiple of a perfect square:":lH6:RV$;"1";TV$;"2 = ";RV$;"4";TV$;"x";TV$;"3 = ";RV$;"4 x ";RV$;"3 = 2";RV$;"3"lR1900:l::MS$" RATIONALIZATION of FRACTIONS "mˆ1000:1020:239,13:2:249,"All RADICALS must always be reduced,":14:"when possible.":Rk1600:7:239,11hk16:"Examples":}k 239,1:37,73:5k16:"---------":239,11:9:3k 4:"a) Perfect square:": l*6:RV$;"1";TV$;"6";TV$;"9 = 13 ; ";RV$;"2";TV$;"5";TV$;"EAL "j239,1:37,129:5;j3:"---------":239,11:14:3fj14:"b) ";RV$;"9 = + 3 (not -3)":j14:"c) - 3 = - ";RV$;"9"jā1900:jЄ::MS$" REDUCTION of RADICALS "jڄ1000:1020:239,13:2:249,7:TV$(21)j䄒3:239,11:4:3=k-iL"2) The symbol ";:5:RV$;:3:"a always"4iV7Zi`"represents the POSITIVE SQUARE"aij7it"ROOT of the number a (a > 0)."i~239,1:37,92:5:22:"--------":3i1600:12:239,11j3:"Examples: a) ";RV$;"-";TV$;" ";TV$;"9 is not R'h耗::MS$" SQUARE ROOTS and RADICALS "Hh1000:1020:249,7:TV$(21)Oh9dh3:239,11:4:4h"1) Only POSITIVE numbers have REAL"h7h$"SQUARE ROOTS, one is positive,"h.7h8"and the other is negative."hB1600:8:4:239,113 gd}12:900gn}1600Dgx}14:3:"If D = 0 then 1 SOLUTION":30800sg}239,1:37,110:18:5:T110:"-";:::3g}16:900g}1600g}18:3:"If D > 0 then 2 REAL SOLUTIONS":30900g}239,1:37,142:19:5:T118:"-";:::3g}1900:9,7(f}7:"The SIGN of the DISCRIMINANT,"Vf}3:"determines the number of solutions:"zf(}239,1:37,21:11:5:"----":3f2}6:30700f<}1600fF}8:900fP}10:3:"If D < 0 then NO REAL SOLUTION"fZ}239,1:37,78:20:5:T118:"-";:::IMINANT :"4e|y239,1:37,105:15:5:"------------":3Cey15:30700Yey1600:14:239,11ey3:"3) Devise the number of SOLUTIONS,"ey3:" according to the SIGN of D."ey1900:e}::MS$" QUADRATIC FORMULAS "f }1000:1020:239,15:2:24X as a REAL number,"4d6y9:"an equation in the form:"Zd@y239,8:7:12:WI%29:HI%9:30500dJy8:13:"aX";:700:" + bX + c = 0"dTy1600:239,11:8:3d^y3:"1) Identify the coefficients a, b, c,":dhy1600:10:239,11ery3:"2) Find the DISCR4:31330:910:815cx5((I2)I2):103,105103,120203,120:H%203:V%120:VV%108:30180:3((I2)I2):15:22:249,07:"add":13:21:249,10:"+":249,08:cy::MS$" QUADRATIC EQUATIONS "c"y1000:1020:239,15:249,7:2d,y4:"To solve, for 37:"b":37,(37)11:36:"2a":Ubx20:03:WI%17:HI%22:30500:CV:24:WI%38:30500bx239,1:37,161:0:4:"X = ---------";:3:20:"or";:0:25:"X = ---------"bx37,156:8:"- b - ";Q$;:29:"- b + ";Q$:37,167:11:"2a";:32:"2a":cxI0NC%:36100:3:7,9:"aw BOX 3 exx239,1:37,159:19:"b";:700:29:"b"zex239,11:16:9:"X";:700:" + bX + -- = (X + -)";:700ex239,1:37,172:19:"4";9);"2" fxH%92:V%136:VV%156:30300:30370:H%128:VV%148:30300:30370:H%196:VV%150:30300:303:3Zdtr"Examples will be provided"Ft|13]t"at your request"dt6t"at any time, in each chapter."::t1900:80'sԅ1600:239,1:37,148:28:"b";:700:s腹239,11:15:3es"3) Subtract the quantity -- from c."s239,1:37,161:28:"4a"s5:261,153261,75230,75:H%230:V%75:VV%69:30180s$1900:s@ EXAMPLES sJMS$" EXAMPLES "sT1000:10"Kr6:123,81144,81:H%144:V%81:VV%69:30100:30170:VV%93:30300:30370mr1600:239,1:37,115:35:"b"r239,11:12:3r"2) Complete the binomial with --."r239,1:37,128:35:"2a"rʅ5:243,113243,83180,83:H%180:V%83:VV%69:301";:700:" ....":3cqRD%150:H%180:V%34:VV%50:30300:30370:H%230:30300:30370:180,V%H%,V%:3{q\1600:239,11:8:3qp"1) Factor a in:":qz6:"aX";:700:" + bX + c = a(X";:700:" + -X) + c"q{239,1:37,93:28:"b"q|37,106:28:"a5:VV%69:30180p<1900:ApЄ::MS$" COMPLETING the SQUARE IV "Qp䄰1000:1020mp239,11:3:249,7:9:3p "To complete the equality"p 239,8:249,7:7:5:7,36:8,8:3:38387:0:1p4239,1:37,54:6qH"aX";:700:" + bX + c = a(X ....)"2a";o⁒5:243,113243,88187,88:H%187:V%88:VV%69:30180fo쁰1600:239,1:37,148:27:"b";10);"c"yo239,11:15:3o"3) Subtract the Square [--]";:700:" from -."o(239,1:37,161:27:"2a";9);"a" p25:261,148261,75235,75:H%235:V%7239,1:37,93:28:"b";4);"c":n37,106:28:"a";4);"a"n6:130,81144,81:H%144:V%81:VV%69:30100:30170:VV%93:30300:30370n1600:239,1:37,115:35:"b"n239,11:12:3nā"2) Complete the binomial with --."o؁239,1:37,128:35:0ej10:239,11:249,7QetSO%(D0)2(D0)3(D0):SO%33150,33200,33300:33450e~7:"The DISCRIMINANT is NEGATIVE,"::3:"therefore there is NO REAL SOLUTION.":e9:9:"The DISCRIMINANT is ZERO,":"therefore there is only 1 REAL SOLUTION:":):VB(2)B(2):4000:4200`dBCO3:CHCH1:U4A(1)A(3):VB(1)B(3):4000:4200:1800:WK%1:1500dL239,11:10:249,7:1:"Now, let's combine these two terms:"dV239,8:CV20:CV:C%CV88:16:"D = ";d`CO3:CH20:UD1:VD2:4000:4200:1800:150239,8:5:10:CO3:C%727c"a = ";8);"b = ";8);"c = ";pcI13:CH912(I1):CH:UA(I):VB(I):4000:4200:c239,8:14:249,7:4:"Now let's compute the DISCRIMINANT:"c.33660:239,8:CV20:CV:C%CV88:14:"D = ";d8CO0:CH18:UA(2)A(2 {3:9:"SOLVING the EQUATION":3b} EXAMPLE (5) >b}30700ab }I13:AA(I)A(I):BB(I)B(I):xb}D1%D1:D2%D2:DDDb}35000b}33000b(}I13:A(I)AA(I):B(I)BB(I):b-}D1D1%:D2D2%:DDDb2}RI$(89):b耲 ANSWER (5) b퀰30700c" + bX + c = 0"!a@y249,7:3:239,60aJy11:31200?aTy15:31300Eayay25:"2":4:"1) with Integers : 3X - 2X - 5 = 0":::aDz23:"3";:25:"2";:29:"8";:34:"5":4:"2) with Fractions: -X - -X + - = 0":23:"2";:29:"3";:34:"7":::b`B`0uCHAPTER6/ANSWERS (`.wRI$"Y"ı8`8w21000:FA1C`Bw25000N`Lw30600Y`Qw29850`w239,8:15:10:"One moment, please...":0:`w0:30600:3:`y ASGNT (5) `"y31500`'y5:10:7,32:8,7:3:38387:0 a,y6:11:"aX";:700:      !!! ! ! ! ! !!!!!! A" INSTRUCTIONS IV "g1000.g239,10:4:g 249,07g47);"You may enter 2 or 3 terms":4);"in a row, separated by a + ,":4)"or a - sign, or by pressing RETURN.")hH:6);"Press RETURN TWICE when you are":4);"ready for your complete ans take the lower part of":3);"the fraction."f`7)"Press V to type a ";RV$;" when wanted,":3)"except in the denominator of a":3)"fraction.":fj07);"Use the ";S2$;" to correct your":249,8:04);"answer from right to left.":249,7f1900:, type it in":3)"from left to right. You may enter":3)"integers or fractions, but no":3)"decimal numbers."*fV7)"To type a fraction, enter the":3);"top part of the fraction first, then":3);"the (/) key. The cursor will now":3);"move below tore, and the":03);"assigned number of problems will":03);"constantly be displayed in the screen":13);"top left corner."d 1900d耲 INSTRUCTIONS III dMS$" INSTRUCTIONS III "d1000d239,10:4d$249,07meL7);"To enter your answer, [H], or [M]."bci}:07);"If you make any errors in a":03);"question, then you will not score a"cl}03);"point for that question."cn}:07);"If you ask for the answer, your":03);"score will be reduced by one point."yd}07);"Your current scoduce any of the fractions.""b8|1900:b} INSTRUCTIONS II Vb}MS$" INSTRUCTIONS II "`b}1000ob2}239,12:2{b<}249,07 cd}03);"At any time, you may always ask for":249,8:03);"EXAMPLE, ANSWER, HELP, or MENU,":249,7:04);"by pressing [E], [A]GERS or FRACTIONS),":249,8:03);"and the NUMBER of problems."::249,7ay05);"The computer will check every part":03);"of your answer and tell you exactly":03);"where any mistakes are."by:05);"It will also tell you if you need":04);"to re``0u INSTRUCTIONS I $`"y:?`,yMS$" INSTRUCTIONS I "I`6y1000X`Jy239,10:3d`Ty249,07`|y:05);"This program can provide you":03);"with as many problems as you wish.":Eay05);"Just select the CHAPTER, then":03);"the level (INTE   700:" + b = 0"&a@y249,7:3:239,65aJy11:31200DaTy15:31300Jayay26:"2":4:"1) with Integers : 3X - 27 = 0":::aDz24:"3";:26:"2";:31:"8":4:"2) with Fractions: -X - - = 0":24:"2";:31:"3"::: b {3:9:"SOLVING t`%`0u CHAPTER5`5uRI$"Y"ı*`:u210005`Du25000>`FuFA1I`Xu35000Y`buK%230080r`guFA0:(PC)FA1:PC0}`lu35080`vu30050`u(FA)İ60100`u60000:28000`u30020`y`"y31500`'y5:10:7,32:8,7:3:38387:0a,y6:11:"aX";:!!""" " " " " """""""""     CH3rҌ4800:"X ";(r܌CO3:I3:CHCH2:r挰4800:" = 0"@rAAWK%0:RI$""8q̈3:249,8:10:"SOLVE the EQUATION":249,7Cqֈ34000cq5:11:7,31:8,7:3:38387tq0:36000:3qG$"E"ıq:q FORM AX^2+BX+C=0 q6:12qCV6:CH12:C%40qCO1:I1q4800:"X";:700:" ";rȌCO2:I2:CH0:I13:JJ(((A(I)N))(A(I)N))::J3āI13:A(I)A(I)N:Fpf:VpRG6:I13gp1400:A(I)Vxp1400:B(I)VpB(1)(A(1))34210ppŅ(B(2))(B(1))(B(3))(B(1))34200pƅ(B(1)B(2)B(3))134200pʅp EQU.INPUT qˆoLTLT(LTLV)LV(LTLV)!oƄ6oЄ COEFF. INPUT JoڄR%34100,34200oD1A(2)A(2)B(1)B(3)4A(1)A(3)B(2)B(2):D2B(2)B(2)B(1)B(3):DD1D2oD0G$"E"A(1)A(1):34020oo4I13oH1400:A(I)V:B(I)1oR>p\N1021:JЖCHLU:RV$VT$;:CHLU2:W1;:>n:37,C%:CH:J1LT:"-";::wnlLR0:W11āJ1((W1)):VT$VT$RT$::LR2(VT$)2}nmnvU$(U):U1W11U$""nLU(U$):V$(V):LV(V$):LTLULRnCNCH((LVLT)2)(LVLT)nCDCH((LTLV)2)(LTLV)54:CV20:37,C%:17:3:"X = ";:m|239,8:17:13:7,26:8,18:3:38387:17:239,1:37,134:14:0:"D = b";:700:" - 4ac":3:mW11UPU:4000:4200:mVT$"":N$" + ":U0N$" - "m33900:(U)1U$""mƒU$P$N$U$:33930:33530:n0:4:"X = ---------";:3:20:"or";:0:25:"X = ---------"l^37,117:8:"- b - ";Q$;:29:"- b + ";Q$:37,128:11:"2a";:32:"2a":mr15:15:7,27:8,17:38387:15:239,1:37,120:0:16:"X = - --":37,115:25:"b":37,126:24:"2a":239,1:C%133910:W11V1Ĺ37,C%6:CH:U$;:33850:37,C%7:CD:V$:Gk낭W11ĺU:YkW1İ33800:tkV1ĖCH:U$;:33800:k37,C%6:CH:U$;:33800:33850:37,C%7:CD:V$:k@15:03:7,17:8,17:38387:15:24:7,38:8,17:38387:15:lT239,1:37,122:800:K%0jMQ%1ı?jI(SW)(I(SW)1)(I(SW)0):RI$"":WK%0:^j܂U10:U20:V10:V20:VT$""rj݂S((U))11jނU(SS)(U(SS))U1S:U2(U(SS)):S1jႂ:U1U1(U10)(U10):U2U2(U20)U(U20)jUU1:V((V)):WUV:W1U28k悰33900:0VV:PP:UUiN211ki(((PN))(PN))(((UN))(UN))((VN)VN)PPN:UUN:VVN:33415i:P$(P):P0P$"- "((P))iV1V:U1U:U$((U)):33700i239,1:37,C%:20:"or X = ";:CH28:UU1:VV1:U$((U)):33700:j1OR:"6hF239,1:249,7:CV20:C%154:37,C%:14:Q$;" = ";ShPCH21:33500:1800:1500hZ239,11:10:4:"Now let's compute the 2 solutions:":33600hd3:239,1:C%154:CV20:37,C%hn" X = ";:CH6ixPA(2)B(1)V:UB(1)B(2)U:V2A(1)B(2)V:VSSQ%1:S12g(S:SQ%33340)g2V0V:V10Yg7S212:(V(SS))V(SS)V1V(SS):S12rg8S:V10V1V:33338g9VV1:V10:33335g:UUV1:VV0V1g<239,11:10:9:"Now let's compute ";Q$;","hASQ%ĺ:3:"after RATIONALIZING the DENOMINATf΁33650:CO0:CH21:UA(2)B(1):V2A(1)B(2):4000:4200:f7:"The DISCRIMINANT is POSITIVE,"::2:"therefore there are 2 REAL SOLUTIONS."f1800:0:12:8,21:38312:16:3:239,11:10fU(U):V(V):V1SQ%1:33340 g#SQ%0:S212:VSʕLN(2)30qCK4:I2:22306q21500:239,11:10:50000GqnG$"N"SO%Ė8:"Yes, there are solutions":l38000l:ll6:144lCV6:CH14:C%40AlCO1:I1]l4800:"X";:700:" ";:rlȌCO3:I2:CHCH3lҌ4800:" = 0"lllG0ılCK38120,38220,38300,38300lp'mzI12:AA(I)0:BB(I)1:AA$(I)"":BB$(I)"":U$(I)"":V(A(1))34230kŅk(kˆWK%0:RI$""Wk̈3:249,8:10:"SOLVE the EQUATION":249,7bkֈ34000k5:12:7,29:8,7:3:38387k0:36000:3kG$"E"ıkRI$"Y"RI$"":35040kK%0:KF%0:KK$"":KK%0:SK$"":SK%0:FK$"":FK%0:CK%0:CO0LV)LV(LTLV)jƄjЄ-jڄR%34100,34200KjSO%A(1)A(2)B(1)B(2)0oj(0).4SO%0A(2)A(2):SO%1ujj41400:A(1)VV:B(1)1jf1400:A(2)V:B(2)1:j1400:A(1)Vj1400:A(2)Vj1400:B(2)(V)j1400:B(1)(V) kB(1): i:37,C%:CH:J1LT:"-";::6ilW11LR0:33910diqJ1((W1)):VT$VT$RT$::LR2(VT$)2ivU1W11U$"":33930iU$(U)iLU(U$):V$(V):LV(V$):LTLULRiCNCH((LVLT)2)(LVLT)iCDCH((LTLV)2)(LTLV) jLTLT(LT)U(U20)&hUU1:V((V)):WUV:W1U2gh悰33900:W11V1Ĺ37,C%6:CH:U$;:33850:37,C%7:CD:V$:vh낭W11ĺU:hW1İ33800:hV1ĖCH:U$;:33800:h37,C%6:CH:U$;:33800:33850:37,C%7:CD:V$:hCHLU:RV$VT$;:CHLU2:W1;37,C%:20:"OR X = - ";0gCH32:VT$"":33510Hg1800:K%0:MQ%1ıugI(SW)(I(SW)1)(I(SW)0):WK%0:RI$"":g܂U10:U20:V10:V20:VT$""g݂S((U))11gނU(SS)(U(SS))U1S:U2(U(SS)):S1hႂ:U1U1(U10)(U10):U2U2(U20V1:V10:33135fsUUV1:VV0V1Vft239,11:10:5:"Then by taking the SQUARE ROOTS,"fySQ%Ė3:"and rationalizing the denominators,"fz11:"the solutions are:"f~239,1:249,7:C%154:CH%1:38990f6:"X = + ";fCH12:33500g239,1:= ";Fe`CO3:UA(2)B(1):VA(1)B(2):CH23:CH:4000:4200:1800:1500jeeU(U):V(V):V1SQ%1:33140efSQ%0:S212:VSSSQ%1:S12ehS:SQ%33140ejV0V:V10eoS212:(V(SS))V(SS)V1V(SS):S12epS:V10V1V:33139 fqV";;d.CO3:UA(2):VB(2):CHCH7:CH:4000:4200:1800:1500Nd8239,15:249,7dB7:8:"Now by dividing both sides":9:"by the coefficient of X";:700::10:"the equation becomes:"dLCV20:239,1:249,7:C%152:CH%8:38990eV16:"X";:700:" 2:"numbers cannot ever make ZERO.":33200c5:"By subtracting the second term":12:"from both sides,":10:"the equation becomes:"c239,1:249,7cCV20:C%152:CH%8:38990cA(1)B(1)133100c$CO1:I1:CH15:CH:4800:"X";:700:" = he EQUATION":b}