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solving nonlinear equation with mathematica !!

• To: mathgroup at smc.vnet.net
• Subject: [mg47146] solving nonlinear equation with mathematica !!
• From: m004202002 at yahoo.com (why)
• Date: Sat, 27 Mar 2004 01:35:02 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

I face root finding problem solving nonlinear equation

I have system nonlinear equation

x^2-y-1 = 0;
10x exp(-x)-y = 0 ;

If you draw the graph you see two intersecting point .

I have found a point [Using FindRoot function ]
In (-0.1,-0.5) the point is (-0.0905897,-0.991794 )---it is OK 

But 
In (2.0,1.0) the point is (1.94463,2.7816)
But the graph says the x->2.something ,y->1.somthing 
I have used same FindRoot function to find the root
in (2.0,1.0 ).

Please help me ASAP .

..
I want(exam)to use other methods(bisection/secant etc).
If any one have workout examples of nonlinear equation
please let me know .
.....

Thank You .