KöMaL 2020 B5076

Find the real solutions of the system $\begin{align*} x+y+z+v & =0, \\ x^2+y^2+z^2+v^2 & = 12, \\ x^3+y^3+z^3+v^3 & = 24. \end{align*}$

Official text KöMaL. Quoted with source.

Solutions

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