# It's nice 2

Algebra Level 4

$x^4 + y^4 + z^4 - 4 xyz = -1$

Find the sum of all possible values of $$x,y,z$$ where $$x,y,z$$ are real numbers.

• Ex. if there are two pairs of values then sum of values of $$x,y,z$$ is $$(2,3,4) , (1,2,-3)$$ here sum is $$2+3+4+1+2-3$$
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