{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
262 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }
{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 
0 0 0 0 1 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 
1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 3 0 -1 -1 -1 
0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 1 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 
256 1 {CSTYLE "" -1 -1 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 -1 
-1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 257 1 {CSTYLE "" -1 -1 "" 1 24 0 
0 0 0 0 1 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 256 14 "TD : Complexes" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT -1 24 "Feuille
 d'accompagnement" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Exercice 4
" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "seq(abs((1+I)^(2*i)),i=0
..6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6)\"\"\"\"\"#\"\"%\"\")\"#;\"#K
\"#k" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "seq(argument((1+I)^
(2*i)),i=0..6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6)\"\"!,$%#PiG#\"\"\"
\"\"#F%,$F%#!\"\"F(F#F$F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
17 "j:=exp(2*I*Pi/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"jG,&#!\"
\"\"\"#\"\"\"*&%\"IGF)\"\"$#F)F(F-" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 29 "seq(abs((1+j)^(2*i)),i=0..6);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6)\"\"\"F#F#F#F#F#F#" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 41 "seq(argument(evalc((1+j)^(2*i))),i=0..6);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6)\"\"!,$%#PiG#\"\"#\"\"$,$F%#!\"#F(F#F$F)F#" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "z:=(1-I*sqrt(3))/(1+I);" 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalc(z^1515);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"zG*&,&#\"\"\"\"\"#F(%\"IG#!\"\"F)F(,&F(F(*&F*F(\"
\"$F'F,F(" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,&\"_ys)Ry(y*=F2&po0D)[aL
P\"GR!)*\\raYWzh!=g7Gvr7G<?;g*eSsXrOaT=o'4&*Q=`eWD(eh<1QD'31B#\\(GS'\\
RT<p2C%HDSx:<?EXbPE!4eKJ3&3k72uMb?cZZl!e(\"\"\"%\"IGF$" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "abs(\");argument(\"\");" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#,$*$\"\"##\"\"\"F%\"_ys)Ry(y*=F2&po0D)[aLP\"
GR!)*\\raYWzh!=g7Gvr7G<?;g*eSsXrOaT=o'4&*Q=`eWD(eh<1QD'31B#\\(GS'\\RT<
p2C%HDSx:<?EXbPE!4eKJ3&3k72uMb?cZZl!e(" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#,$%#PiG#\"\"\"\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
15 "(sqrt(2))^1515;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,$*$\"\"##\"\"
\"F%\"_ys)Ry(y*=F2&po0D)[aLP\"GR!)*\\raYWzh!=g7Gvr7G<?;g*eSsXrOaT=o'4&
*Q=`eWD(eh<1QD'31B#\\(GS'\\RT<p2C%HDSx:<?EXbPE!4eKJ3&3k72uMb?cZZl!e(" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "z_4:=simplify(evalc((1+I*
tan(alpha))^2/(1+(tan(alpha))^2)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%$z_4G,$*&,(!\"\"\"\"\"*$-%$tanG6#%&alphaG\"\"#F)*&%\"IGF)F+F)!\"#F)
,&F)F)F*F)F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "abs(z_4),
argument(z_4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$-%$absG6#*&,(!\"\"\"
\"\"*$-%$tanG6#%&alphaG\"\"#F)*&%\"IGF)F+F)!\"#F),&F)F)F*F)F(-%)argume
ntG6#,$F&F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "alpha:=Pi/17
89;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&alphaG,$%#PiG#\"\"\"\"%*y\"
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "simplify((abs(z_4))),ar
gument(evalc(z_4));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"-%'arctan
G6#,$*&-%$tanG6#,$%#PiG#F#\"%*y\"F#,&F#F#*$F)\"\"#!\"\"F3F2" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT 257 78 "Je n'ai pas r\351ussi \340 faire \+
mieux... mais on connait bien ses formules trigo..." }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 60 "z6:=(1+sin(theta)+I*cos(theta))/(1+sin(th
eta)-I*cos(theta));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#z6G*&,(\"\"
\"F'-%$sinG6#%&thetaGF'*&%\"IGF'-%$cosGF*F'F'F',(F'F'F(F'F,!\"\"F1" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "evalc(z6);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#,(*&,&\"\"\"F&-%$sinG6#%&thetaGF&\"\"#,&*$F%F+F&*$
-%$cosGF)F+F&!\"\"F&*&F/F+F,F1F1**%\"IGF&F/F&F%F&F,F1F+" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(\");" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,&-%$sinG6#%&thetaG\"\"\"*&%\"IGF(-%$cosGF&F(F(" }}}}
{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Exercice 6" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 34 "expand(cos(3*theta)*sin(6*theta));" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,**&-%$cosG6#%&thetaG\"\")-%$sinGF'\"\"\"\"$
G\"*&F%\"\"'F*F,!$C#*&F*F,F%\"\"%\"$?\"*&F*F,F%\"\"#!#=" }}}}{SECT 0 
{PARA 3 "" 0 "" {TEXT -1 10 "Exercice 7" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 43 "seq(combine(cos(theta)^(2*p),trig),p=0..5);" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6(\"\"\",&-%$cosG6#,$%&thetaG\"\"##F#F*F+F#,(-
F&6#,$F)\"\"%#F#\"\")F%F+#\"\"$F2F#,*-F&6#,$F)\"\"'#F#\"#KF-#F4\"#;F%#
\"#:F;#\"\"&F=F#,,-F&6#,$F)F2#F#\"$G\"F6#F#F=F-#\"\"(F;F%#FJF=#\"#NFGF
#,.-F&6#,$F)\"#5#F#\"$7&FC#FA\"$c#F6#\"#XFTF-#F?\"#kF%#\"$0\"FV#\"#jFV
F#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "seq(combine(cos(theta
)^(2*p+1),trig),p=0..5);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6(-%$cosG6#%
&thetaG,&-F$6#,$F&\"\"$#\"\"\"\"\"%F##F+F.,(-F$6#,$F&\"\"&#F-\"#;F(#F4
F6F##F4\"\"),*-F$6#,$F&\"\"(#F-\"#kF1#F>F@F(#\"#@F@F##\"#NF@,,-F$6#,$F
&\"\"*#F-\"$c#F;#FJFLF1#FJF@F(FBF##\"#j\"$G\",.-F$6#,$F&\"#6#F-\"%C5FG
#FVFXF;#\"#bFXF1#\"$l\"FXF(#Fgn\"$7&F##\"$J#Fin" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 43 "seq(combine(sin(theta)^(2*p),trig),p=0..5);" }
}{PARA 12 "" 1 "" {XPPMATH 20 "6(\"\"\",&#F#\"\"#F#-%$cosG6#,$%&thetaG
F&#!\"\"F&,(#\"\"$\"\")F#-F(6#,$F+\"\"%#F#F1F'F,,*#\"\"&\"#;F#-F(6#,$F
+\"\"'#F-\"#KF2#F0F:F'#!#:F@,,#\"#N\"$G\"F#-F(6#,$F+F1#F#FGF;#F-F:F2#
\"\"(F@F'#!\"(F:,.#\"#j\"$c#F#-F(6#,$F+\"#5#F-\"$7&FH#F9FTF;#!#XFZF2#
\"#:\"#kF'#!$0\"FT" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "seq(c
ombine(sin(theta)^(2*p+1),trig),p=0..5);" }}{PARA 12 "" 1 "" {XPPMATH 
20 "6(-%$sinG6#%&thetaG,&-F$6#,$F&\"\"$#!\"\"\"\"%F##F+F.,(-F$6#,$F&\"
\"&#\"\"\"\"#;F(#!\"&F7F##F4\"\"),*-F$6#,$F&\"\"(#F-\"#kF1#F@FBF(#!#@F
BF##\"#NFB,,-F$6#,$F&\"\"*#F6\"$c#F=#!\"*FNF1#FLFBF(FDF##\"#j\"$G\",.-
F$6#,$F&\"#6#F-\"%C5FI#FYFenF=#!#bFenF1#\"$l\"FenF(#!$l\"\"$7&F##\"$J#
F]o" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Exercice 9" }}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "toto:=cos(Pi/11)+cos(3*Pi/11)+cos(5
*Pi/11)+cos(7*Pi/11)+cos(9*Pi/11);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%%totoG,,-%$cosG6#,$%#PiG#\"\"\"\"#6F,-F'6#,$F*#\"\"$F-F,-F'6#,$F*#\"
\"&F-F,-F'6#,$F*#\"\"%F-!\"\"-F'6#,$F*#\"\"#F-F=" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 19 "combine(toto,trig);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,,-%$cosG6#,$%#PiG#\"\"\"\"#6F*-F%6#,$F(#\"\"$F+F*-F%6#
,$F(#\"\"&F+F*-F%6#,$F(#\"\"%F+!\"\"-F%6#,$F(#\"\"#F+F;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(toto);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"+-+++]!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 258 50 "C
e n'est pas une preuve, mais c'est convaincant..." }}}}{SECT 0 {PARA 
3 "" 0 "" {TEXT -1 11 "Exercice 10" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "solve(z^2=2+I);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$
,&\"\"#\"\"\"%\"IGF&#F&F%,$F#!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
259 141 "Tout taupin surpris  \340 \351crire cela sera trucid\351 : le
s auteurs de Maple savent ce qu'ils disent en racontant cela; le taupi
n (en g\351n\351ral) non." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
11 "evalc(\{\"\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$,&*$,&\"\"%\"
\"\"*$\"\"&#F(\"\"#F,F+F+*&%\"IGF(,&!\"%F(F)F,F+F+,&F%#!\"\"F,F-F2" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "solve(z^2=4*I-3);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$,&!\"\"\"\"\"%\"IG!\"#,&F%F%F&\"\"#" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "solve(z^2=8*I-15);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$,&!\"\"\"\"\"%\"IG!\"%,&F%F%F&\"\"%" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "solve(z^2=9+40*I);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6$,&\"\"&\"\"\"%\"IG\"\"%,&!\"&F%F&!\"%" }}}}
{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 11" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 30 "s1:=solve(27*(z-I)^6-(z+I)^6);" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6#>%#s1G6(,&%\"IG\"\"#*&F'\"\"\"\"\"$#F*F(F*,&F'F(F)
!\"\",*#!#7\"#8F*F'#\"\")F2*$F+F,#F+F2F)#!\"#F2,*F0F*F'F3F5#!\"$F2F)#F
(F2,*#\"#7F2F*F'F3F5F6F)F<,*F>F*F'F3F5F:F)F7" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT 260 9 "gloups..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 
"seq(simplify(evalc(I*(1/sqrt(3)*exp(k*I*Pi/3)+1)/(1-1/sqrt(3)*exp(k*I
*Pi/3)))),k=0..6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6),$*(%\"IG\"\"\",
&\"\"$F&*$F(#F&\"\"#F&F&,&!\"$F&F)F&!\"\"F.*&,&F(F&F%!\"#F&,&!\"%F&F)F
&F.*&,&F-F&F%F+F&,&\"\"%F&F)F&F.,$*(F%F&F,F&F'F.F.*&,&F(F&F%F+F&F6F.*&
,&F-F&F%F1F&F2F.F#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "simpl
ify(\{\"\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<(*&,&\"\"$\"\"\"%\"IG
\"\"#F',&\"\"%F'*$F&#F'F)F'!\"\",$*(F(F',&!\"$F'F,F'F',&F&F'F,F'F.F.*&
,&F2F'F(F)F'F*F.,$*(F(F'F3F'F1F.F.*&,&F2F'F(!\"#F',&!\"%F'F,F'F.*&,&F&
F'F(F:F'F;F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "r:=simplify
(evalc(I*(1/sqrt(3)*exp(I*Pi/3)+1)/(1-1/sqrt(3)*exp(I*Pi/3))));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG*&,&\"\"$\"\"\"%\"IG!\"#F(,&!\"%
F(*$F'#F(\"\"#F(!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "ra
dsimp(\",'ratdenom');" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&#!\"$\"#8
\"\"\"%\"IG#\"\"#F'F(,&\"\"%F(*$\"\"$#F(F+F(F(" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 10 "expand(\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#,*#!#7\"#8\"\"\"%\"IG#\"\")F&*$\"\"$#F'\"\"##!\"$F&*&F(F'F,F-#F.F&" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "s2:=seq(expand(radsimp(si
mplify(evalc(I*(1/sqrt(3)*exp(k*I*Pi/3)+1)/(1-1/sqrt(3)*exp(k*I*Pi/3))
)),'ratdenom')),k=0..6);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#s2G6),&
%\"IG\"\"#*&F'\"\"\"\"\"$#F*F(F*,*#!#7\"#8F*F'#\"\")F0*$F+F,#!\"$F0F)#
F(F0,*F.F*F'F1F3#F+F0F)#!\"#F0,&F'F(F)!\"\",*#\"#7F0F*F'F1F3F4F)F9,*F>
F*F'F1F3F8F)F6F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 261 6 "Ouf..." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "evalb(\{s1\}=\{s2\});" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT 262 109 "Cette v\351rification n'\351tait pas inutile : dans un \+
premier temps, une erreur s'\351tait gliss\351e dans mon calcul..." }}
}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 12" }}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 48 "solve((I-1)*z^3-(5*I-11)*z^2-(43+I)*z+9+37*I
=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%\"IG,&\"\"$\"\"\"F#\"\"%,&\"
\"&F&F#!\"#" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 13" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "solve(z^4+z^3+z^2+z+1=0);" }
}{PARA 12 "" 1 "" {XPPMATH 20 "6&,(*$\"\"&#\"\"\"\"\"##F'\"\"%#!\"\"F*
F'*(%\"IGF'F(F&,&F%F'F$F'F&F),(F$F+F+F'*(F.F'F(F&,&F%F'F$F,F&F),(F$F+F
+F'F1F+,(F$F)F+F'F-F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 263 15 "Sans in
t\351r\350t..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "solve(x^2
+x-1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$\"\"&#\"\"\"\"\"#F&#!\"
\"F(F',&F)F'F$F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "evalf(
\{\"\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$$\"+!*)R.='!#5$!+*)R.=;!
\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "evalf(2*cos(2*Pi/5))
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+!*)R.='!#5" }}}}{SECT 0 
{PARA 3 "" 0 "" {TEXT -1 11 "Exercice 14" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 17 "j:=exp(2*I*Pi/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%\"jG,&#!\"\"\"\"#\"\"\"*&%\"IGF)\"\"$#F)F(F-" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 53 "solve(\{x+y+z=a,x+j*y+j^2*z=b,x+j^2*y+j*z=c\},
\{x,y,z\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<%/%\"xG,(%\"aG#\"\"\"
\"\"$%\"bGF(%\"cGF(/%\"zG,,F'F(F+#!\"\"\"\"'F,F0*(%\"IGF)F*#F)\"\"#F,F
)F0*(F4F)F+F)F*F5#F)F2/%\"yG,,F'F(F+F0F,F0F3F8F7F0" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 2 "x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"xG
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "assign(\"\");" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "x,y,z;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6%,(%\"aG#\"\"\"\"\"$%\"bGF%%\"cGF%,,F$F%F(#!\"\"\"\"'F)F
+*(%\"IGF&F'#F&\"\"#F)F&#F&F-*(F/F&F(F&F'F0F+,,F$F%F(F+F)F+F.F+F3F2" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "Im(y);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,$-%#ImG6#,,%\"aG\"\"#%\"bG!\"\"%\"cGF+*(%\"IG\"\"\"\"
\"$#F/F)F,F/F/*(F.F/F*F/F0F1F+#F/\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 45 "assume(a,real):assume(b,real):assume(c,real):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "Im(y);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,&*&\"\"$#\"\"\"\"\"#%#c|irGF'#F'\"\"'*&%#b|irGF'F%F&#!
\"\"F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "solve(\{Im(x)=0,I
m(y)=0,Im(z)=0\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%#b|irG%#c|ir
G/F&F&" }}}}}{MARK "1 10 1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }