Consider x2+y2+z2=x2y2x^2 + y^2 + z^2 = x^2 y^2x2+y2+z2=x2y2. What is true about integer solutions?
There are no solutions
Only (0,0,0)(0,0,0)(0,0,0)
There are non-trivial solutions
Only (2,2,2)(2,2,2)(2,2,2)