olymmath

PL-OM 2015 Problem 4

    Solve the system {x+y+z=1x5+y5+z5=1\begin{cases} x+y+z=1 x^5+y^5+z^5=1\end{cases} in real numbers.

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Polish Mathematical Olympiad 2015 official paper, page 1.

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