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Omni-MATH / Suppose a,b, and c are complex numbers satisfying beginaligned a^2 & =b-c b^2 & =c-a, text and c^2 & =a-b endaligned Compute all possible values of a+b+c. · Discussion

Discussing Suppose a,b, and c are complex numbers satisfying begin{aligned} a^{2} & =b-c b^{2} & =c-a, text { and } c^{2} & =a-b end{aligned} Compute all possible values of a+b+c. · Omni-MATH

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