IrMO 2017 Problem 2

Solve the equations : $\begin{cases} a + b + c = 0 a^2 + b^2 + c^2 = 1a^3 + b^3 +c^3 = 4abc \end{cases}$ for $a,b,$ and $c.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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