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{SECT 0 {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" {TEXT -1 17 
"Solving Equations" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 54 "You can solve equations numerically using the command " }
{TEXT 256 9 "fsolve.  " }{TEXT -1 51 "You may have to specify the inte
rval where you want" }}{PARA 0 "" 0 "" {TEXT -1 28 "the solution.  For
 example, " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "fsolve(2^x=x^2
,x);" }}}{PARA 0 "" 0 "" {TEXT -1 63 "This just found one solution.  T
he plot shows there is another." }{TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 21 "plot(2^x-x^2,x=0..5);" }}}{PARA 0 "" 0 "" {TEXT 
-1 118 "I'll specify an interval which contains the second one and omi
ts the first one.  I can use the plot to estimate where " }}{PARA 0 "
" 0 "" {TEXT -1 92 "solutions are.  (Of course, in this example you ca
n solve by hand if you think for a while.)" }}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 23 "fsolve(2^x=x^2,x=3..5);" }}}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 16 "You can use the " }{TEXT 257 6 
"solve " }{TEXT -1 17 "command to solve " }{XPPEDIT 18 0 "n;" "6#%\"nG
" }{TEXT -1 14 " equations in " }{XPPEDIT 18 0 "n;" "6#%\"nG" }{TEXT 
-1 30 " unknowns.  Here's an example." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 31 "solve(\{x^2+y^2=4,x+y=2\},\{x,y\});" }}}{PARA 0 "" 0 
"" {TEXT -1 33 "There are two pairs of solutions." }{TEXT -1 0 "" }}
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