olymmath

NMC 1996 Problem 2

  • Answer

Determine all real numbers xx, such that

xn+x−nx^{n}+x^{-n}

is an integer for all integers nn.

Dataset text NuminaMath olympiads. Quoted with source.

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x=\frac{m}{2} \pm \sqrt{\frac{m^{2}}{4}-1}

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