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Re: solve equation and domains

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42159] Re: solve equation and domains
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Sat, 21 Jun 2003 02:49:36 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <bcrr8o$hnb$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <bcrr8o$hnb$1 at smc.vnet.net>,
 "anto" <mendietanospam at virgilio.it> wrote:

> I must solve this equation x^3+(s+b+1)*x^2+(r+s)*b*x+2*b*s*(r-1)=0
> I wish the solutions in the domain r>1.

How about

 << Experimental`

 CylindricalAlgebraicDecomposition[{
   x^3 + (b + s + 1) x^2 + b (r + s) x + 2 (r - 1) b s == 0, r > 1}, 
  {x, r, b, s}]

or, if you a Premier service customer and have already downloaded 
version 5, use CylindricalDecomposition instead.

> If i can it's ,possible to solve in the domain r>b?

 CylindricalAlgebraicDecomposition[{
   x^3 + (b + s + 1) x^2 + b (r + s) x + 2 (r - 1) b s == 0, r > b}, 
  {x, r, b, s}]

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 9380 2734
School of Physics, M013                         Fax: +61 8 9380 1014
The University of Western Australia      (CRICOS Provider No 00126G)         
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Crawley WA 6009                      mailto:paul at physics.uwa.edu.au 
AUSTRALIA                            http://physics.uwa.edu.au/~paul


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