Question

Find all real triples \((x,y, z)\) that satisfy \(x^4+y^4+z^4−4xyz = −1\).

Answer 1

@KingGeorge

Answer 2

It is just a surface in a 3 dimensional space.

Answer 3

I've seen a method to solve problems like this easily, but I can't remember it right now. I'll try and look it up later to try and find more information.