Integer solution (x,y,z)

$\hspace{-16}$Find no. of Integer Solution $\mathbf{(x,y,z)}$ of the equation\\\\ $\mathbf{x^4+y^4+z^4-2x^2y^2-2y^2z^2-2z^2x^2=24}$$

No solution.

1 Answers

got this on aops.
(x^2 + y^2 - z^2)^2 - (2xy)^2 = 24.
(x+y+z)(x+y-z)(x+z-y)(x-y-z) = 24.
rest is simle. :)

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