KöMaL 2013 B4544

Solve the simultaneous equations below. $x$ + $y$ + $z$ =3, $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{5}{12},$ $x^3$ + $y^3$ + $z^3$ =45.

Official text KöMaL. Quoted with source.

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