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Imposing constraints on a system of equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg109334] Imposing constraints on a system of equations
  • From: Virgil Stokes <vs at it.uu.se>
  • Date: Thu, 22 Apr 2010 03:31:16 -0400 (EDT)

A very simple question on imposing conditions/constraints.

I know that a, r, and h must be real and non-negative in the following 
system of equations:

eq1=Pi*r^2+2*Pi*r*x==0;
eq2=2*Pi*r*h+(2*Pi*h+4*Pi*r)*x==0;
eq3=2*Pi*r^2+2*Pi*r*h-a==0;
sols=Solve[{eq1,eq2,eq3},{r,h,x}]

How can I impose conditions on this system such that only real solutions 
are obtained, and r and h are non-negative?

Thank you,
--V



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