{VERSION 2 3 "DEC ALPHA UNIX" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 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 }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 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "sys:=\{x*y=a^2,ln(x) ^2+ln(y)^2=5/2*ln(a)^2\}:\ninc:=\{x,y\}:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "S:=solve(sys,inc);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #>%\"SG<$/%\"xG-%$expG6#,$-%'RootOfG6#,**$-%#lnG6#*$%\"aG\"\"#F6F6*&F1 \"\"\"%#_ZGF8!\"#*$F9F6F8*$-F26#F5F6!\"&#F8F6/%\"yG-F)6#,$-F-6#,*F;F8F 0F:F " 0 "" {MPLTEXT 1 0 13 "al lvalues(S);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6*<$/%\"yG-%$expG6#,$-%#l nG6#%\"aG#\"\"$\"\"#/%\"xG-F'6#,$F*#\"\"\"F0<$/F%-F'6#,$F*#!\"$F0F1<$/ F%F3F1<$/F%-F'6#,$F*#!\"\"F0F1<$F$/F2F&<$F9FI<$F@FI<$FBFI" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "convert(S,radical);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"yG-%$expG6#,$*$,(*$-%#lnG6#*$%\"aG\"\"#F2F2* $-F.6#F1F2\"\"&*&F-\"\"\"F4F8!\"##F8F2F:/%\"xG-F'6#,$F4#\"\"$F2" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "map(simplify,\",ln,symbolic) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"yG-%$expG6#,$*&\"\"*#\"\"\" \"\"#*$-%#lnG6#%\"aGF.F,F,/%\"xG*$F3#\"\"$F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "map(simplify,\",power,symbolic);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"yG*$%\"aG#\"\"$\"\"#/%\"xGF&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "sys;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/*&%\"xG\"\"\"%\"yGF'*$%\"aG\"\"#/,&*$-%#lnG6#F&F+F'* $-F06#F(F+F',$*$-F06#F*F+#\"\"&F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "inc;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$%\"xG%\"yG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "expand(op(remove(evalb,su bs(y=a^2/x,sys))),symbolic);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,(*$- %#lnG6#%\"xG\"\"#F**$-F'6#%\"aGF*\"\"%*&F,\"\"\"F&F1!\"%,$F+#\"\"&F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "factor(op(1,\")-op(2,\")) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&,&-%#lnG6#%\"xG\"\"#-F'6#%\"a G!\"\"\"\"\",&F&F*F+!\"$F/#F/F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "solve(\",x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$*$%\"aG#\"\"\" \"\"#*$F$#\"\"$F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 110 "Maple 5.4 est tellement plus intelligent, qu'il ne sait \+ plus resoudre ce systeme. Pour l'aider, effectuons..." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "sys:=\{X^2+Y^2-5/2*A^2,X+Y-2*A\};" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%sys2G<$,(*$%\"XG\"\"#\"\"\"*$%\"Y GF)F**$%\"AGF)#!\"&F),(F(F*F,F*F.!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "ss:=[solve(sys2,\{X,Y\})];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ssG7$<$/%\"XG,$%\"AG#\"\"\"\"\"#/%\"YG,$F*#\"\"$F-<$ /F(F0/F/F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "subs(\{X=ln(x ),Y=ln(y),A=ln(a)\},ss);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$<$/-%#ln G6#%\"xG,$-F'6#%\"aG#\"\"\"\"\"#/-F'6#%\"yG,$F+#\"\"$F0<$/F&F5/F2F*" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "map(solve,\",\{x,y\});" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#7$<$/%\"xG*$%\"aG#\"\"\"\"\"#/%\"yG*$F (#\"\"$F+<$/F-F'/F&F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}}{MARK "16 0 0" 110 }{VIEWOPTS 1 1 0 1 1 1803 }