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MathGroup Archive 1994

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Need to solve a system of equations

  • To: mathgroup at
  • Subject: Need to solve a system of equations
  • From: peterw at (Peter T. Wang)
  • Date: 28 Apr 1994 07:30:06 GMT

I need to find all (trivial and nontrivial) solutions of the following
system of nonlinear equations in variables d, h, and r:

	m1*r*(d+h+r)^2 = (r+h/2)^2
	h/2*(d+h+r)+r*d = m2*h*(d+h+r)^2
	m2*d*(d+h+r)^2 = (d+h/2)^2

where m1 and m2 are arbitrary constants.  I currently have three solutions:
(r,h,d) = {(0,0,0),(0,0,1/m2),(1/m1,0,0)} and there exists at least one
more solution.


Peter Wang
Michael Tice

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