Determine all possible positive integer triplets (x, y, z) with y ≥ z satisfying the following system of equations :

                  x² = 2(x+y+z)

              x³- y³ - z³ = 3xyz

(In reply to Solution by Praneeth)

your general solution is correct, only thing I have to add is that the problem asks for the positive solutions with y>=z  thus that would narrow down your solutions to these four                (0,0,0) (4,0,0)  (4,2,2)  (4,3,1)  (4,4,0)

Posted by Daniel on 2007-08-25 02:15:58