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WRITE DOS FILES9!&x#!7&p))'&X*./)L''-؆莟@}R'S  vW DEHHI 1A#! @ ~0ɛ8A0.) ȅ 1 1iA}il ! 1L NO SUCH ITEMSELECT ITEM OR FOR MENU! 0 .{z:*{}.|~ 1 0 0B}JB 18L^%|DLl%DIRECTORY--SEARCH SPEC,LIST FILE? # 0 0 n&|D! 1L NOT A DISK FILEC}N !B 1L " 1 !BDED:}:1BJ|DE 1DEBHD}I 1 h0ߢ 0.  0?詛 1 ~0YЛ 1 "L<" "L E} BL1TYPE "Y" TO DELETE...DELETE FILE SPECCOPY--FROM, TO?OPTION NOT ALLOWED COPYING---DN:F}# 0|D .L$A#B#C#JB|DE 1BHIDD#E 1D#0: BG} 1L B#C#C#B# B 1N#$0SYS1}:e#D# d# D# .d#ȽD# d# 𩛙d#X# 1,A#H}PdD#ELO- A.BJdD#E 1 1HH 0hh|DL^%1}:e# Lt% e#dD#EL%I} 1 0 . .0% 1L WILD CARDS NOT ALLOWED IN DESTINATION 0 A.|K@C!? @A B C Dn}!E"F%GHIJKLMNOPQRSTo}UVWXYZ[\]^_`abcp}defghijklmnopqrsq}tuvwxyz{|}'~GG6-C::hhIįr}8˕Ͱϑ`, @d)@F:@,%-2)@L67@<@,.>:,s}R-Z(>:,d B`#67<,.>:,@2#6-6-%@ @ 9 +'0@t}9@@##@@K:%%6-F:@,%AV$F:@,:AR@'-u}.(:6-A((0-@06-@@$P:$?W,2#%@ &#%@ %<#%AB&v}#%AB%F#%Ax&#%Ax%P#%A &#%A %Z d--@@ -(QUADRAw}TIC EQUATIONSn--@@-( x%-@@%( BY Don Ross1-@ @1(Micrx}ocomputer Workshops(-@@((Copyright 1983-A ;@@,;@ ,;@@,y};@@,;@,;@,9@,9@,;@@,;@,;@,;@,;@,;@@,;@z},;@,;@,;@,;@@,;@,;@,;@,;@,;@,;@ ,;{}@,;@,;@,9@,9@,9@,9@,9@,;@,;@,;@,;|}@,;@,;@ ,;@,;@,;@,;@,;@,;@,;@,;@,}};@,;@,;@ ,;@3,;@,9@,9@,;@3,hh;@,;@ ,;@,~};@,;@,;@3,;@,;@,;A `,W68@,-@-68@,-@ B68@,-}@W68@,-@%68@,-@-68@,-@B68@,-@$W68@,-@2l68@},-68@,-006.&**6. To undo multiplication, you mustB}6.That is .B6.!The quadratic expression has been''6. is positive,its factors have 6.+-dAR}'Ad(8}Please enter your first name (up to ten characters)$6-@$B:, Ap}:6-@:7<,,"@2,6.7@,:6-&@9!@* A#/67<,.>:&@2,9 A"6-%}@" B:,A&AR@&(}Hi, .**("Do you want instructions (Y or N)?BA@d}")@."@8 AB A@xAAR!6-@-6-96-}N68@,-c68@,-{(}How many problems(would you like A56-!AR}@5 @A0?"(Are you sure you want ?(problems? (type Y or N)6A@d")@}6"@xA@A %%(Enter level of difficulty:( 1) EASIER( 2) MORE DIFFIC}ULT( (type 1 or 2)NA@d")@06-&@HN @)!@ApI (}-@}@1(PROBLEM NUMBER E-@API AA6-@A-6-P:H:@,$@%@},&@ A"A 6.=:, AQ6.A-6-P:H:@,$@%@,&@A"A}%"A 6.=:, AQ6.$ 6-$6.=:, AQ$6.$ 6-%6.=:, AQ$6}.6-@6.1F 6.6.+ !67@,.- F67@<@,.-F 6.6.+ !67@},.- F67@<@,.-F 6.6.+ !67@,.- F67@<@,.-F 6.6.}+ !67@,.- F67@<@,.-T"@6.X2 +X 267B:,%@,.J67B:,%@,.} =0T AuU"6@6.X2 -X 367B:,%@,.K67B:,%@,. =0U Aug6.X2 #67B:,%}@,.:67B:,%@,.X N67B:,%@,.g67B:,%@,. = 0H 6. AT6.!6.X067@,.}96.1XH67@,.H 6. AT6.!6.X067@,.96.1XH67@,.+(}ź!-@@}%(+6.56-@6-!6.+ AR5 A` AS Aa!!"@*"@A&}+ AS+"@*"@AXP+Y-@@!"@K(The coefficients , , and Y6-%@}0O"@1(do not have a common factor.; AbE ASO A02@A5..(&You must f}actor first. If the product?..(&of two factors is equal to 0, set eachA!!(one equal to 0 and solve.D/6-%@} Ab% AS/ A0NH A`6-@%6-@>6.( )( ) = 0H ARX AS].(Ent}er first factor: ( B.6.b4Ad AT6.gJB:,!@6(}@ AbJ Aj46-@(7@<@,4X46-@l6-@6. ARq,6-@6-}"6., ARvC-@@3(Enter second factor: = BC6.4A0 AT6}.@B:,!@6(@ Ab[B:,!@(6-%@$@@4Q6-?:}<<%@<AY,[ A%46-@ (7@<@,4X46-@!)6-@6. AR) AS}A`4*4)4*4A A!!+4)4,*+4)4,A!!+4)4,*+4)4,A}!!+4)4,*+4)4,A0*0)0*0AO( Nice work, ,/(that is correct.9 AbC AS}O6-6- AD6-%@6(Sorry, , that is incorrect.D6-%@; 6. AU}6-6-%6./ AU56-;6-"@AP#6.=:$,$"@#6.A6-$%$6.=:,}$!*6.26.+A67@,.96.=:$,$!"6.*6.+967@,.A:,"6.}# 6.#67B:,%@,.X2 *A:,"6. 6.X* A8+A:,"@6.+X!6.+ A8)A}:,"6.6.) A8,A:,"6@6.-X"6., A8&67B:,%@,. 6.X &6.+67B}:,%@,.+67B:,%@,.,6-@6-"6., AR(()() = 2"@( }Try again( Ab2 A Ab A`-@@i_(WAll factors must be in the form of AX+B} or X+B, where A and B are integers.i Ab#6-#@A D6- AS"(,D}(I'm going to show you how to3(factor this expression.) Ab3 A @ Aa AS#6-@/6-}66.@ AR"4"@&(Once t7@,46-%@#N"@D(0factored each factor must then} be set to zero.N A %0"@("( factored.06-%@*"@A04 Ab A>B}6-%@$@@%B6-?:<<%@<@9,HP6-@6-@'6-@-6.F67B:,%@,}. = 0P ARR_ 6. AU"68@,-168@,-76.A AUP68@,-_68@,-W-6.=:O:}8@,,,-6.=:O:8@,,,XC8@, *6.=:8@,,C67@<@,.+Y+8@,!+}6.=:68@,,\C8@, *6.=:8@,,C67@<@,.+]+8@,!+6.=:68@},,a#6- AS# AcfC"@%"@)"@/ AdP9 AbC Aep AS Ae}u%"@6-% Aez"@A**"@*8@,"@A AS Ac} AS Ae%"@6-% A D6-@6-@!6.:67B:,%@,. = 0D A}Rh6-6-'6-@36-@?6-@%E6.^67B:,%@,. = 0h AR AS }AcC"@%"@)"@/ AdP9 AbC A  AS Ae%"@6-}% A $"@A)8,"@A.#6-@ AS# Ac3 AS Ae8%"}@6-% ApD6-@6-@%!6.:67B:,%@,. = 0D ARH6-8@,!6-8@},>6.78@,<8@,,H ARH6-8@,!6-8@,>6.78@,<8@,,H AR AS}(, @(( These are the solutions to the6( equation.@ Ab" AS"(Error analysis:##( Pro}cedural errors : $$( Computational errors :  6-% B@O68@,-8@,%768@,-8}@,%C6-O6- Ab '6-%@(}' A0 B0bO(GWould you like to }xit this program orstart another et of problems?b((enter E or S)(6A@d")@6"@A}2@iA < B O6-@:68@,-P:H:@,$@%@,O68@,-@S668@},-P:H:@,$@%@,&@S8@,"AS668@,-P:H:@,$@%@,&@}S8@,"A'6.=:8@,,'6.=:8@,,8@,"@6.*8@, }*6.=:8@,,;8@,! 6.+;67@,.=:8@,,*8@, *6.=:8@,,;}8@,! 6.+;67@,.=:8@,,&6-8@,$8@,&6.=:,G36-8@,$8@,%8@},$8@,G"A 6.=:,)!6.+)67@,.=:,6-8@,$8@}, 6.=:,)!6.+)67@,.=:,"@6.+ "6@6.-!}"@6."{ 6.#67B:,%@,.X2 767B:,%@,.N67B:,%@,.X b67B:,%@,.{67B:,%@},. = 0,a 6.67B:,%@,.X367B:,%@,.;6.XJ67@,.R6.1a67@,.1="@}6.1&67@,..6.1=67@,.6 AX A^6-@6-@+6-%$@@7}^6-?:<<%@<A Y&@@$,-@@$+7@<@,4-+6.7@,$P -%@}%@( $W6-%@$@@%B6-?:<<%@<AY,T-@@W$ 6."-@}B:,'66.7<,"0(*0)*0 667B:,%@,., 6 6. $|' 6-B:, @$6-@'$}6-E-@&@17<,4+)7<,4-76-E6-&@ "6-@$/ }7&@<&@,0X,6-@/$-%@8)@:7<,, @H)@:7<,,!@W56-@8$ }6-A:7%@,,7<,4-6-6(7@<@,4X(6-@ AV67@<@,4X}66-A:7@<@,,Q6--@C@:7<,, @H)@:7<,,!@WQ6-%@ !@}6-@$6-@$;6-6-@% AX 16-@; AX 8&'"P:',*'"P:',}*'"P:',26-@86-$H@:(&It is better to simplify the equation H6-%@9@9(}%by factoring out the greatest commonC@/(factor of the coefficients.9 AbC A0P6(-Enter numbe}r to be divided into each term: @ BF6.P AXV( AXT$ AXU$A:,"AXU}A:,"AXV AS"( Sorry, ,+6-A:,V'"P:',*'"P:',*'"P:',AXr99(A:, is not a} factor of ,  and .:,(The greatest common factor is .:6-%@! Ab AS! AXP}O68@,-8@,'768@,-8@,'C6-@O6-@ A p56-@6-+6.} ˠ5 AR.6-@6-!6.+ AR.$,6-@6-"6., AR$$(Enter }one of the following:,,($ 1) Divide both sides by a number##( 2) Factor the left side**(! 3) Set each f}actor=0 and solve Ai''@:, @I)@:,!@QAaP 6-A:,.$8-@A B1-@}@#1(Hit to continue.L$)@$@2Ab V ASWILL RETURN AS-@}@##())(! 1) Add same number to both sides88(0 2) Subtract same number from bo}th sides//(' 3) Multiply both sides by same number--($ 4) Divide both sides by same number+ Ai+ }@I)!@RAc@56-6-&@H) @56-@$ AS@$ ++(To} solve for X, you must undo 8,D'(by multiplication or division.56-%@A6-@D$-&8@,"@}&6-&@2 AS<<+(#Undo addition or subtraction first.96-%@<$dSOLVE EACH FACTORi3"@}6-@'6-@36-@j3"@6-@'6-@36-@$n ASs''AeAf@}AgAit&"@ Ad# Ab&$z..(&Enter value to be added to each side:}' B6. Ae&}' Ae'~ ( Ae%A:,"Ae&A:,68,Af As$ AS (Sorr}y, .>*(Undo the addition by adding 68,>(to both sides.% Ab6-%@% Ae"&"@} Ad# Ab&$N4(+Enter value to be subtracted from eachside> BD6.N AfU( AfP}$ AfR$A:,"AfRA:,8,Ag  As$$, AS (Sorry, .6@*(Undo ad}dition by subtracting 8,@(from both sides.@% Ab6-%@% AfP|2" AdP# Ab/6}-@2$~..(&Enter number to multiply each side by' B6. Ag' Ag ( Ag A}T6.%8,"@6.1/2%6..5#8,"@6.1/3#6.0*0Ah ApP6-}@6-&@%6.(+6-5 AiD67@,.\67B:,%@,.X)(p67B:,%@,.67B:,%@,.})=(r 6- Ai'67B:,%@,.>67B:,%@,.)(R67B:,%@,.h67B:,%@,.)r AR A}t$G AS(9(#Multiply by the reciprocal of theG6-%@:(coefficient of X: & Ab0 AS}: Ag2" AdP# Ab/6-@2$,,($Enter number to divide each side by' B6.} Ai!' Ai"  ( Ai  A:,"Ai!  AT6. 6- Ai0Ap} ApP6-@6-%@#6.:67B:,%@,.X/N67B:,%@,.e67B:,%@,. =k6-u Ai}67B:,%@,.767B:,%@,./-67B:,%@,.7 AR! At:$?;A@d")@}+6.>:,;4HBPD4EB`I4SBpK$N AiuP 6."@6.Q"@}6.R"@6.S$T"@6.$U"@6.$V"@6.$W"@}6.$X AS(6-%@bL.(!divide by the coefficient of X: 8,8 AbB ASL Ai%( (}-@A" %$ 6."@6. $ =6-6.)67B:,%@,.=67B:,%@,.}*1 6.67B:,%@,.167B:,%@,.44*4)4*4Ar@6& 6.67B:,%@,.&6-A:,70 6.}67B:,%@,.&6-A:,06-$%85 6.=:,!6.&6.+567@,.9"@6.+:"6@}6.-;_ 6.!67B:,%@,.2567B:,%@,.K67B:,%@,.X_67B:,%@,.<A"}6.-67B:,%@,.2A67B:,%@,.>-6-@6-@%#6.- ARC Ab$HC6-@}6-@%96.7@6-6-O:,)-@M:,>'P:',A8J#%6-%@68,-%68,-'K#N 6.=:,6}78,<8,,.&6-B:,2 @N678,%<8,,. L#P6.=:',678,<8,,.(6-B:,4 @P678,%}<8,,. N#   6-P# APZ#,6-6-@"6., ARd#..(&List all factors of the first }and lastn#%%(terms without regard to sign.x# Ab AP#l6-@6-@!6.K67B:,%@,.X2 } b67B:,%@,.=:,l AR#W6-@6-@!6.967B:,%@,. M67B:,%@ },.W AR#6-@"%-@@%-6. J67@,.=:8&@,,b67B:,%@,. 67B:,%@ },.=:8&@,,# AR # AS-@@#l$(Now, we'll try all possibleO(&combinations of }the above factors and l(see if any of them work.#F Ab6-@'6-@%<6.( )( )F AR#I }6-@6-@%#6.- AR96-@?6.I AR#2 AS( (6-@2 A# } AP#(Since $g,(the same sign. Since  is alsoT(positive, the factors of  areg(b }oth positive.$6-@6- AP"$(Since '$22(the same sign. Since  is negative,,$K/(the f }actors of  are both negative.;6-@A6-K APT$g,(Since  is negative its factorsW(&must have oppo }site signs: 1 negative,g( 1 positive.^$6-@6-@$I6-@6-@%#6.- AR96-@ }?6.I AR$6.7<,6.7<,$I6-@%B:,"6-@%(6.2 ARC6-@%B:,I6.$ AR }$ Ab$**("Try all combinations of the above$**("factors. You will either get the$&&(correct product or }run out of$(possibilities.% AbX%#-@6-#6-]%<-@.78,%<8,%,0 } <6-%@^%(78,%<8,%,0 (6-%@_% 6-B:,6-B:,b% 6- Aq!6-@%/6-@ }%J6.78,<8,%&@,^67B:,%@,.h AR6.78,<8,%&@,e%u 6- Aq!6-@%<6. }78,<8,%&@,P67B:,%@,.k6.78,<8,%&@,u ARg% Ari%#"@ AP# A }j%!!"@*"Al%!!"@*"Am%!!"@*"@Av%:6-@%6-@ }%*6.7<,06.: AR{%66-@%6.7<,"6., AR6 Ar%#"@ AP# A }%4A%n 6- Aq!6-@%/6-@%J6.78,<8,%&@,P6.d67B:,%@,.n AR }%Y 6- Aq$6-@%B:,?6.78,<8,%&@,E6.Y67B:,%@,.% AR Ar%#"@ } AP# A%!!")"@A%:6-@%6-@%*6.7<,06.: AR%66-@ }%6.7<,"6., AR6 Ar%#"@ AP# A% H&))(!}All quadratic equations in this }J&..(&program are generated randomly in theL&00((form of 'AX2+BX+C=0' and are solveableN&..(&by factoring. You may }choose from twoP&(levels of difficulty:R&++(# 1) The coefficient of X2 is 1.T&^0(( 2) The coefficient of X2 } is 2 or 3. B-@@#^(Hit to continue.V&$)@$@2A\&))(!}You will be given a me }nu with 3^&( options:`&..(& 1) Divide each term by the same valueb&,,($ 2) Factor the quadratic expressiond&//(' } 3) Set each factor to zero and solvef&..(&If the coefficients of all terms have h&--(%a common factor greater than 1, }thenj&..(&you must first choose option number 1.l&..(&If there is no common factor, you mustn&%%(first choose option }number 2.p&! B!"@fAr&..(&}You will be asked to enter the firstt&--(%and second factors in any ord }er. Ifv&**("your responses are incorrect, thex&--(%product and an error message will bez&--(%printed. If you are u }nable to enter|&++(#the factors on the second try, the~&,,($program will show you how to factor&(the expression. }&! B!"@fA &//('}After the expression has been factored&++(#correctly, option number 3 must be }&..(&entered. Each equation containing the&--(%factors is then solved on the screen&++(#using the rules for solving !}linear&..(&equations. After both solutions have &))(!been found, the number of errors&&&(involving use of a rule "} or in&..(&computation are given. You then have &((( the option to do another set of&((( problems or to exit the #}program.&! B!"@fAB&ee(]}If you would like to see these instructions again during the progra $}m,enter ''.&HH(@If you want to start a new set of problems, enter ''.&77(/If you want to exit the prog %}ram, enter''.&mm(eNOTE: If you are presented with a menu, you only have to enter the firstletter of each comma &}nd.&! B!"@fA`&$'J-@@"J(/Hit to continue, or to go backone page.'.)@ '}.@2*@fB$'$*eAR(?+6-F:@,7@F6-F:@,R6-@ (}^6-@e6.+rA@d")@r"@()"@))"A')"AW)"AV)"A%)"AU )}B +"AUB@+ (>:, B +&@@(&-&@*+)@ @4+QA *}R@)-@%@1( B6.7@<,J4 Q6.>+"4EXIT B`" BH+"4HELP B +}P" BR+#4START Bp# B\+$+K -"-@F:@,&)( - 3(A-&@K  ,}B.: (}-@@:(To run this program again,.-@@(type:.%-@@%( RUN[ -}].-@@ 2(},2<(in  problem6-) B1<( , you made:2F((8@, .} computational error76-8@,A B1F(2M ( and/(8@, procedural error>6-8@,H B1 /}M(2`6-P:8@,'%?P,'(.C(This is an average of T8@,'`(about 2H(!(computationa 0}l error'6-1 B16(H( per problem3F (and )6-P:8@,'%?P,:8@,'F(about 3C( 1} procedural error"6-, B10(C(per problem.3 6-% B@ Ab,3 6.@6.s63 2}$6E 6-6-BA!6-@-"96-BAE6-@6"@6-@6!@6-@ 3}6))#%@@$%@$P:$H:,,6 "6 (6$7Great job,!7Perfectly done,!(7Not one mist 4}ake,!27What a math student,!<7I am impressed,.F7Almost perfect,!P7((Try again to get a perfect score,.Z7''Try 5} to get it perfect next time,.d7''You will be a good math student,.n7Practice makes perfect,.x7""You'll get there nex 6}t time,.7""Patience. 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