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SAMBOL @230,64:3086:230,32:3086::(4);"BLOAD UNPACKER":LOC16639:UNPACK768:0,LOC((LOC256)256):1,(LOC256):230,321A((4);"BLOAD LOGO.PAC,A"LOC:UNPACK:4: H hL` ,T,RL r r g zR e  g clvPPPP@#"ÿ??@ `а8`NwL7 H *&+)'h}"H c0 c"  L" *&!0+i+'i'`%J) +hj*` :+2 VV LLޅUHTHL ʊ c%LL$O"%C%L" 7 )ߠقΰɐU8Iiii+`8"%%H hi#L"%H$3  8***,uIL -*+i+Ȅh!1 $0p,u0*I*!0 +i+ & & &mx)my $20t I-t I-t$0PPT&'JH&'h&&'&&'&FJ 쩀L  &J*, YYL 9Y*߬ +i+LG m%%#F emy @($0pJ (!` 8 ۩Fŭ к,w wNw)pT  r HH`@, `,T@,U`,,L 8nT`8n`u" w Nu`I`8n`0jjj`  $(8$$hh`  $0,p FjFFFj : .II -- Fj xyz8i!$PzMz0`*+i+`z`1I (,ɛ nU ! ,U0ɕ  Hɍ hwL f NO,+i+ U `*Y*`Lű S(*)  + II U 8++`$2 $pi}e*e*`p Pp ` $8 LLf LE L 8697,R,Wxy " (!#i18 ,PL` ~Lv,T ~hhL 󦴊HH hh`8HH$(L ( vv  ,Ɂvv,c0 ې I,32:973,76:974,D:975,C:(1014)88(1015)255Ĺ1014,D:1015,C{Bx2048::(20)2:12:8:"SOLVING QUADRATIC EQUATIONS"B(4)"RUN QUADRATIC EQUATIONS"IC EQUATIONS"R)32:(PG1)8192,0:D$"RUN COVER"A#B2048:12:8:"SOLVING QUADRATIC EQUATIONS":D$"BLOAD FLEX TYPE,A"B:C(B256):DB(C256):AB2048:I12:D$"BLOAD"CS$(I)",A"A((I1)768):TYPE1AF(CS$(I),3)".56"TYPE2AP(A10)I,TYPE:ABdA10,3:A11@ " FILENAME= COVER @ "THIS PROGRAM LOADS FLEXTYPE BELOW HIRES PG#1 AT 2048 ($800) OTHER PROGRAMS LOAD AT 16385 ($4000) @D$(4):230,32:3086:PG1:CS$(1)"ASCII.56":CS$(2)"ASCII.40""A::(104)(PG1)32((PG1)8192)0Ĺ104,(PG1   "  ??" g```c```g6 : ?`@`?p@6 6 S 2aՀ  p333s3330?`C@`?x@!`yp`p 00``@@@@@``p08 p ppp@ |  accca``cf"aՀ `p8꺎C  LLLOLLL \xp ս Հ x~~`p8~C @agfga```@@p | x" ";::X:40::41);:QC6:7:"SOLVING QUADRATIC EQUATIONS":7:(UL$,14)lC10:15:"By Don Ross"C 14:4:"Microcomputer Workshops Courseware"C!17:14:"Copyright 1985":19:15:"Version 1.0"2D"(20)1;:3:22:"Flex Type courtesy of almost made it on that one."IBCM$(8)"These problems are not so easy."sBCM$(9)"Keep trying. You'll get it."BCM$(10)"Don't get discouraged. You'll do better."BUL$"________________________________________"C:2::41);::X119:40::mpressive!"?A CM$(2)"I see you've been doing your homework."qA CM$(3)"Too bad your teacher can't see this."ACM$(4)"You're an excellent mathematician."ACM$(5)"Well, we can't all be perfect."ACM$(6)"That was a good try."BCM$(7)"You > @11@:I$;::+@ ** GET A$ **9@16368,0@A$:X100(1)(78)16(79):X(X):A$"a"A$"z"A$((A$)32)@@ ** READ KEYBOARD **@ 16368,0@ KB(16384):KB12810:KBKB12832(KB224KB251): A CM$(1)"Very i                     C                                                                          *2 <"<"""<< <"""<"><$""< """"  "" 6***""""""""""<""< :< $"""2,"""""**6"""""< >>8  80,**"*:<"">""""""""""""">>><2"<""">""" ""  ">"6**"""""&*2""""""""""""*,"" "" ">""""""""""""""**6"""""""> >>> >00000>>>< (&20 *, **>> "2*&" " >>  ">> "8""> """"""< >> "    Z(3))))SFZ(2)0Z$(2)"+"((Z(2)),2)DSPZ(2)0Z$(2)(Z(2))gSZZ(4)0Z$(4)"+"((Z(4)),2)SdZ(4)0Z$(4)(Z(4))SnS50:2640SxPI1(P3P4)İ2810:2590:1390S2830SS61S60:1390SPI11480SPI2Z(1)11480Tt"M3$DN$DN$"factored, each factor must then be set "DN$"to zero."lRP2E1E11:"T"M3$DN$DN$"factored."RP3İ2590:1240R(S41:7:8:I$FF$" = 0":3R2Z$FF$:2090:Z(1)M1:Z(2)M2:Z$SF$:2090:Z(3)M1:Z(4)M2S<Z$(1)((Z(1))):Z$(3)((21ĺ"All factors must be in the form of"DN$DN$"(Ax+B) or (x+B), where A and B are"DN$DN$"integers."Q2590:S12730:2030:DN$N$","DN$DN$"I'm going to show you how to factor this"DN$"expression.":2590:3640Q2480:2030:BRP1E1E11:"After 90:M3M1:M4M2:Z$FF$:2090%P1750PS20A1AB1BC1Cĺ"Nice work, "N$"."DN$DN$"That is correct.":2590:S10:S20:1240PS1S11:"Sorry, "N$", that is incorrect."DN$:E2E21PS20ĺDN$"("FF$")("SF$") = "E1$"."DN$:S12ĺ"Try again."dQS90:620O -> FIND FACTORS (OS10OO5:13:"( )( ) = 0":2030{ODN$"Enter first factor: ";:70:FF$IN$O 5:16((FF$)2):FF$O*1:17:"Enter second factor: ";:70:SF$IN$O5:23((SF$)2):SF$:2030:PS20:Z$SF$:20620NP3720N"You must factor first. If the product "DN$"of any two factors equals zero, it"DN$DN$"follows that either one or both factors "DN$"are zero. Therefore, you can set each "DN$"factor equal to zero and solve for x."OE1E11:25A(BA)CA(CA)CF1DMX:"Problem #"G9":"DN$(UL$,10)" "E$VMb4:LI$:2440`Ml2480rMvP2PI1720M2030:PI2CF12310NP1E1E11:DN$"The coefficients "A", "B", and "C" do"DN$DN$"not have a common factor greater than 1.":2590:(LD1)(2(1)1):F(3)1:X145LD:F(2)((2X1)(1)X):F(4)(13(1)6):F(2)0F(4)0360LrPI1(F(1)1):M1F(1):M2F(2):M3F(3):M4F(4):1750:AG9:B10360LwAA1:A0ĴPE$(A)E1$360:375M|PE$(G9)E1$:AA1:BB1:CC1:E$E1$" = 0":CFA:Bw many problems do you wish"DN$DN$"to do (1-9)? ";QK5:X8(A$):X81X89270K:8:"Enter level of difficulty:"DN$DN$DN$" 1) Easier"DN$DN$" 2) More difficult"DN$DN$DN$"Your choice (1-2): ";K"5:LD(A$):LD1LD2290K^G91X8_LhF(1)19"JY~J:10:"Please type your first name (up"DN$DN$"to ten letters) and press ";:I$"RETURN":3:"."DN$DN$DN$"Name: ";J50:N$IN$J:11:"Hi, "N$"."DN$DN$"Do you want instructions (Y or N)? ";J5:A$"Y"4270:A$"N"2202K:11:"HoAN)((A$"+"A$"-")AS)ĺA$;:IN$IN$A$1IR72TIT *** CHECK WHAT'S ALLOWED ***qIUIN$""AN1:AX1:AS0:IVAX((IN$)1)((IN$)120)JWI$(IN$,1):AS(I$"x"):ANI$"x"I$"0":ANI$"0"I$"9"(IN$)1I$(IN$,(IN$)1,1):ANI$"0"I$":57!HE **** FACTOR INPUT ****6HF16368,0:IN$""MHHA$:A$"X"A$"x"HJA$(13)IN$""76:(IN$,2)"1x"IN$(IN$,2)HKHLA$(8)IN$""ĺA$" "A$;:IN$(IN$,1,(IN$)1):72HN85: SEE WHAT'S ALLOWED)IP(A$"x"AX)(A$"0"A$"9"""ĺA$" "A$;:A$(IN$,1):ZZ(A$"/"):IN$(IN$,1,(IN$)1):57rG>(IN$)95(IT1)57:IT0(A$"a"A$"z")57G@IT0IN$""A$((A$)32)GBIT1(A$"0"A$"9")(IT2A$"/"Z1IN$"")(IT2A$"-"IN$"")57HDZZ(A$"/"):IN$IN$A$:A$;****F2IT0:55:NAME9F3IT1:TS$TS$(13):55:TS$ NF4IT2:55:NUMBERnF5IT3:Z0:NUMBER WITH SLASHF7IN$"":16368,0F9A$:A$"A"A$"Z"A$((A$)32)F:A$(TS$,(IN$)1,1)IT157F;A$(13)IN$""IN$"-"ı?G<A$(8)IN$^^^^^^^^^^^^^^^^^^^^^^^^":DN$(13):CL$(11):U$(31):X2$"x"U$"2"(10)" ":AS$(0)"addition":AS$(1)"subtraction"E*A(X)((XG9)100.5)100E+BL$" "E,BL$BL$BL$BL$BL$:160F1 **** GENERAL INPUT Beagle Bros. and Mark Simonsen"(20)2:X12500:X]D$M1$"To undo multiplication, you must"xD%M2$"That is correct."D&M3$"he quadratic expression has been"D'M4$" is positive, its factors have"D(SI$(1)"+":SI$(2)"-"vE)LI$"^^^^^^^^^^^^^^^^ch side: ";:52:G$IN$,c (G$)Z(W2)3480c 2030:DN$"Sorry, "N$"."DN$DN$"Undo the "AS$(Z(W2)0)" by subtracting "Z(W2)DN$DN$"from both sides.":2590:E2E21:2980c S50İ2810:S61:2590!d 2030:DN$"Multiply each side by the"DN$DN$"same numberN$"each side: ";:52:G$IN$2b^ (G$)Z(W2)3480b| 2030:DN$"Sorry, "N$"."DN$DN$"Undo the "AS$(Z(W2)0)" by adding "(Z(W2))DN$DN$"to both sides.":2590:E2E21:2890b S51İ2760:2590c 2030:DN$"Enter the value to be subtracted from"DN$DN$"eaa Ra 2030:DN$"You must do the addition or subtraction "DN$"first.":E1E11:ia SOLVE EACH FACTORa S41W11:W22:W56a" S42W13:W24:W524a6 P2880,2970,3060,3200a@ S51İ2760:2590bJ 2030:DN$"Enter the value to be added to"DN$D610 `F 9:KB13KB822630:B`P 6150:DN$"Your selection: ";_` 5:G$A$:G$"*"ġ:1685w` G$"1"G$"4"2710` P(G$):Q2(P1P2):` 2030::S51ĺ"To solve for x, you must undo "Z(W1)DN$DN$"by multiplication or division.":E1E11:S61 _ 6020'_ 5:G$A$:G$"*"ġ:1685I_ G$"1"G$"3"2500:P(G$):d_ *** PRESS RETURN ***r_ 24:2610_( 9:KB132600:_2 9:"Press ";:I$"RETURN":3:" to continue.";:`< 22:5:"Press ";:I$"R":3:" to reread previous page."DN$:2Fİ2030:DN$"Sorry, "N$","DN$DN$(G$)" is not the greatest common factor"DN$DN$"of "A", "B", and "C"."DN$DN$"The greatest common factor is "CF".":E2E21:2590:2030:2310^t F(1)F(1)CF:F(2)F(2)CF:370^ 5:1:"Work Area"DN$(UL$,9)_ 13:LI$;: -> COMMON FACTOR ENTRY ] P1E1E11:DN$"It is better to simplify the equation"DN$DN$"by factoring out the greatest common"DN$DN$"factor of the terms.":2590:620]$ DN$"Enter number to be divided into"DN$DN$"each term: ";:52:G$IN$^L (G$)C$;:\*L(Z$):L3S21:9\4M1(Z$,1)"x":M20:MN1^\>X1L:G$(Z$,X,1):G$"x"MN2\HG$"+"G$"-"MS(44(G$))\RG$"0"G$"9"2160\\MN1M1M110(G$):2160\fM2M210(G$)\pX:M2M2MS:MN1G$"0"G$"9"S21\z] ,(E1$)1)[E1$E1$X2$R[B101780:ZB1:1800:(Z)1E1$(E1$,1,(E1$)1)c[E1$E1$"x "l[ZC1[ -> ADD Z TO E1$ [X1Z0E1$E1$("+ - ",12(Z0),2)[X1:E1$E1$((Z)):[5:2035[V1:H1:I$Z$:3[14\1:CLZ)100.5)100:G$((X)):7(G$))G$".";:G$((100(X(X)).5)):("0",1,2(G$))G$DN$:|Z -> MAKE EQU. FROM M1-4 ZA1M1M3:B1M1M4M2M3:C1M2M4Z -> HERE IF A1, B1 & C1 EXIST [X0:E1$"":A101770:ZA1:1800:(A1)1E1$(E1$,1gram.";#YE(1)0:E(2)0:E10:E20NY9:KB77260:KB824270:KB691742Y:11:15((N$)2):"Thank you, "N$"."DN$DN$" I hope you enjoyed this program."DN$DN$:16368,0:Y **** PRINT ERROR LINE ****]ZZG9(G90):6((X)))X;:X((X..............";:XE(2)E(1):1745aXDN$9)"You completed "G9" problem"("s",1,G91)"."DN$DN$Y" Press ";:I$"M":3:" to do more problems."DN$DN$" Press ";:I$"R":3:" to review the instructions."DN$7)"Press ";:I$"E":3:" to exit the pro1+W:2:11:I$"Total Error Analysis":3LW4:32:"Average":34:"per"qW" Error"15)"Number Problem"W" _____"15)"______ _______"DN$W"Procedural...........";:XE(1):1745W"Computational........";:XE(2):1745"XDN$"Total..DN$"You made "E2" computational error"("s",1,E21)"."DN$DN$tVrZE1E2:H11:H24:Z0H15:H27:Z2H18:H210V|CM$(H1((1)(H2H11)))VE(1)E(1)E1:E(2)E(2)E2:E10:E20V2590:G$""VG$"*"ZG9:G920WG9:G9G91:G$"*"G9Z0:1560U67:26:SF$" = 0"?U@VV(1):HH(1):Z$SO$(1):2025aUJVV(2):HH(2):Z$SO$(2):2025UT2030:DN$N$", t"(M2$,2)DN$DN$"These are the solutions to the"DN$DN$"equation.":2590U^2030:DN$"You made "E1" procedural error"("s",1,E11)"."?Vh2640T2830$TS61S60:14509T7:8:FF$" = 0"iTS50:S60:S42:V6:H25:Z$SF$" = 0":2025sT2640TPI1(P3P4)İ2810:2590:1500T2830TS61S60:1500TPI11590TZ(W1)11590TS51:2640T"2830U,S61S6 "DN$"program will show you how to factor the "DN$"expression."VsX2620:KB824340t:DN$DN$"After the expression has been correctly "DN$"factored, option #3 must be chosen."DN$DN$"Each equation containing the factors is "DN$"then solved on the scrl be asked to enter the first"DN$DN$"and second factors in any order. If the"DN$"factors are incorrect, the product and "DN$"an error message will appear on the"DN$@sN"screen. If you are unable to enter the "DN$"correct factors on the second try, the$DN$" 3) Set each factor = 0 and solve"DN$DN$q"If the coefficients of all terms have a "DN$"common factor greater than 1, then"DN$DN$"option #1 must be chosen first;"DN$DN$"otherwise, option #2 must be chosen.":2620:KB824270rD:DN$DN$"You wil$DN$7)"quadratic term is 1."DN$~p" 2) More difficult - the coefficient "DN$7)"of the quadratic term is 2 or 3.":2590.q:DN$"You will be given a menu with 3 options:"DN$DN$" 1) Divide both sides by a number"DN$DN$" 2) Factor the left side"DNN$DN$"All quadratic equations in this program "DN$"are generated randomly in the form"DN$DN$DN$"A"X2$(8)"+Bx+C=0 and are solvable by" pDN$"factoring. You may choose from two"DN$DN$"levels of difficulty:"DN$DN$" 1) Easier - the coefficient of the"DNS2)N2:3360 nZFNF1:4260TnN1N2M1M3N1K1(F)N1K2(F):N2K1(F):4070nI13S11(N1N2M1M3)S12:S21:4060nF:1990:2440:720nDD:17:SI$(S1);:24:SI$(S2):n *** INSTRUCTIONS ***o:I$"INSTRUCTIONS":15:3:DN$Du will either get the"DN$DN$"correct product or run out of"DN$DN$"possibilities.":2590kmM1A:M31:2030wmF1NFmS1I1:S2I1:I13S11:S22m4265:N1K1(F):N2K2(F) nDD:18:N1" ";:25:N2" ";:20:")";:27:")":M2(1.5S1)N1:M4(1.5"Since "C" is negative, its factors"DN$DN$"must have opposite signs: one"DN$DN$"negative, one positive.":I13l -> PERMUTATE FACTORS lS1I1:S2I1:I13S11:S22l4265:2590:2030WmDN$"Try all combinations of the above"DN$DN$"factors. Yo"Since "C;M4$DN$DN$"the same sign. Since "B" is also"DN$DN$"positive, the factors of "C" are both"DN$DN$"positive.":I11:3970kF"Since "C;M4$DN$DN$"the same sign. Since "B" is negative,"DN$DN$"the factors of "C" are both negative.":I12:3970nld7)10):V:K1(V7)5(K2(V7)10));K2(V7):Vj2030:DN$"Now, we'll try all possible"DN$DN$"combinations of the above factors and"DN$DN$"see if any of them work.":2590jDD13j14:DD:"("J$(1);:20:")( x )"j2030::C03940:B03910k((Y):YX(YX)NFNF1:K1(NF)X:K2(NF)YX3ijX=i1990iDN$"List all factors of the first and last "DN$"terms without regard to sign.":2590:1990i7:6:I$J$(1)(X2$,2,3):3:33:I$(Y):3i8:4:J$(1)" x"-jV87NF:29(K1(V1):H1:Z$Z$(W1)"x ="Z$(W2):Z$Ch SO$(S4)Z$:V(S4)9:H(S4)HIh sh QU$Z$(W2)"/"Z$(W1):QUZ(W2)Z(W1)h12:H(S4)W52:W53:Z$"x ="QU$:Z$h$SO$(S4)Z$:V(S4)11h.h82030hBJ$(1)(A)"x":A1J$(1)" x",i`NF0:Y(C):X1):ZI$E1$:3:DD5:13:M2$;:25903g> E1$:2590Mg DN$DN$M2$:2590:S51|g 8:W53(PI2Z(W1)1):Z$(W2)" "Z$(W2)g 9:W5:" ^^^^^^^^^"g (Z$(W1))1Z$(W1)" "g Q21ĭ(Z$(W2),1,1)"+"Z$(W2)" "(Z$(W2),2)$h 10:HW5(PI2Z(W1)N$M2$:2590:11:W542(Z$(W1)):Z$(W1)"x/"Z$(W1)" ="Z$(W2)"/"Z$(W1):3580f 2030:E2E21:DN$M1$DN$DN$"divide by the coefficient of x: "Z(W1)".":2590:3210f ->MULTIPLY FACTORS f 1750f* DD2:1:CL$:22((E1$)2)$g4 Z(AA1BB1CC1x: "G1$".":2590:3070,e: DN$DN$M2$:2590weD 11:W5L2(Z$(W1))(G$):"("Z$(W1)"x)("G$")=("Z$(W2)")("G$")":3580e S50İ2810:S61:2590e 2030:DN$"Enter the number to be divided into"DN$DN$"each term: ";:52:G$IN$Lf (G$)(Z$(W1))ĺDN$D: ";:53:G$IN$:G1$"1/"(Z(W1))vd FR(0)0:FR(1)0:Z0:X1(G$):A$(G$,X,1):ZZ(A$"/"):FR(Z)10FR(Z)(A$):Xd Z1FR(0)0ĭFR(1)FR(0)Z(W1)G$G1$:3130e& 2030:E2E21:DN$M1$DN$DN$"multiply by the reciprocal of the"DN$DN$"coefficient of .";:1:22:"Your selection: ";:~5:(A$)Z6120:Z:D~I$""~6050:DN$"1) Add same number to both sides"DN$"2) Subtract same number from both sides 3) Multiply both sides by same number 4) Divide both sides by same number":Ur the left side"DN$" 3) Set each factor = 0 and solve"DN$DN$"Your selection: ";:}14:1:CL$DN$"Enter one of the following";:I$""ĺ" (";:I$"*":3:" to quit)";}":":} *** SECOND MENU ***~I$"S":6160:17:24:"Press ";:I$(Z):3:"eed with actual problems.";?|9:KB824270:KB80260:4800Y|o *** FIRST MENU *** |pI$"S":6030:DN$DN$17)"Press ";:I$(Z):3:"."|z21:17:5:(A$)Z6010:Z;:|I$""S}6050:DN$" 1) Divide both sides by a number"DN$" 2) Facto27:"-2 -2":25:(LI$,9):10:I$"x = 6":3:I$"x = -2":28:3{1:14:CL$DN$DN$"Congratulations, "N$"!"DN$DN$"These are the solutions to the problem. "DN$DN$" Press ";:I$"R":3:" to review the instructions."DN$|"Press ";:I$"P":3:" to procDN$DN$"You must now simplify the second"DN$DN$"equation by subtracting 2 from each"DN$DN$"side.":2590zZ2:6100:14:CL$:18:23:"Type ";:I$(2):3:".":15:"Enter term to be subtracted from"DN$DN$"each side: ";:TS$"2":51@{7:26:"x+2 = 0":d "DN$"add 6 to both sides.":2590yzZ1:6100:14:CL$:23:18:"Type ";:I$(6):3:".":15:"Enter term to be added to"DN$DN$"each side: ";:TS$"6":51y8:7:I$"x+2 = 0":"x-6 = 0"11);:3:DN$9)"+6 +6"DN$7)(LI$,8)DN$10)"x = 6"fz14:CL$xf22:5:TS$:14:CL$DN$DN$"Since you have just factored the left"DN$DN$"side, the next step is to set each"DN$DN$"factor equal to zero and solve for x.":2590"ypZ3:6000:I$"x-6 = 0":8:7:3:14:1:CL$DN$DN$"To solve the first equation, you shoul B form. The factors in this sample"DN$"problem are (x-6) and (x+2).":2590wRTS$"x-6":1:14:CL$:23:17:"Type ";:I$TS$:3:".":15:"Enter the first factor: ";:51x\15:5:TS$:TS$"x+2":22:23:I$TS$:3::18:"Enter the second factor: ";:51ctor of the "DN$"coefficients is 1, the first step in"DN$DN$"solving this problem is to factor the"DN$DN$"left side. Choose option 2 to do this.":2590LwHZ2:6000:5:13:"( )( ) = 0":14:CL$DN$DN$"You must now enter the factors in"DN$DN$"Ax +:11:10:"Do you want to do a"DN$DN$9)"sample problem (Y/N)? ";eu5:A$"N"260:A$"Y"4610u) *** SAMPLE PROBLEM ***u*:"Sample:"DN$(UL$,6)7)X2$"-4x -12 = 0"u44:LI$"Work Area:"DN$(UL$,9):13:LI$v>"Since the greatest common faeen using the"DN$t"rules for solving linear equations."DN$DN$"After both solutions have been found,"DN$DN$"an error summary is given. When you"DN$DN$"finish a set of problems, you will be"DN$DN$"given a total error analysis."t2620:KB824420Du