wes
Posts:
24
Registered:
12/13/04


Real Surface?
Posted:
Jul 5, 2005 6:32 PM


In a recent problem, for there to be a solution the following condition must hold:
x^4 + y^4 + z^4  x y z(x + y + z)=0
{x, y, z} must be real. I can find the trivial solution
x = t, y = t, z = t, all real t.
I believe this line is the only real form satisfying the equation but how can I prove this.

