A friend of mine showed this to me a few days ago:(adsbygoogle = window.adsbygoogle || []).push({});

x+y+z=0

x^{3}+y^{3}+z^{3}=3

x^{5}+y^{5}+z^{5}=15

x^{2}+y^{2}+z^{2}=?

An answer must be supported with justification (so that I know that you didn't guess and get lucky).

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# Tricky math problem

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