Need to solve a system of equations

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Need to solve a system of equations*From*: peterw at chop.ugcs.caltech.edu (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. Thanks, Peter Wang Michael Tice