KöMaL 2025 C1873

Solve the following system of equations on the set of triples of real numbers: $x^2+13x+144=5y+32z$ , $y^2+13y+144=5z+32x$ , $z^2+13z+144=5x+32y$ .

Official text KöMaL. Quoted with source.

Solutions

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