Simple Numerical analysis problem

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• To: mathgroup at smc.vnet.net
• Subject: [mg7636] Simple Numerical analysis problem
• From: remi at techunix.technion.ac.il
• Date: Fri, 20 Jun 1997 16:16:09 -0400 (EDT)
• Organization: Technion, Israel Institute of Technology
• Sender: owner-wri-mathgroup at wolfram.com

```I have a litle problem in solving a rather simple equation with
mathematica:

Here are the lines in mathematica
x1 = 5;
x2 = 7;
U = (Sqrt[(1-pi0) x1] -1)^2;
ro = (1+pi0 x2+U+Sqrt[(1+pi0 x2+U)^2-4 x2 pi0])/2;
eq = x2 (1-ro)^2/ro +x2 U/ro - (ro - pi0 x2/ro)Sqrt[U x1/(1-pi0)]==0;
NSolve[eq, pi0]

There mathematica cannot solve this equation and find the values of pi0
that solves the problem while mapleV find them to in 2 seconds, as I am
a beginner in mathematica I would be happy to get some help on this
problem, moreover is it possible to determine the domain in which the
solution has to be found while using the Solve or NSolve commnad??

Remi Mennesson

e-mail: remi at tx.technion.ac.il

```

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