Is this Algebra?

Algebra Level 2

Given that x,y,zx,y,z are real numbers such that x3+y3+z33xyz=1 x^3 + y^3 + z^3 - 3xyz = 1 and xy+yz+zx=0xy + yz + zx = 0, find x2+y2+z2x^2 + y^2 + z^2 .

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