Mathematics, 14.06.2021 04:10, bercishicicorbin

Let x be a real number such that x + (1/x) is an integer. Prove that (x^n) + 1/(x^n) is an integer for every positive integer n.

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Let x be a real number such that x + (1/x) is an integer. Prove that (x^n) + 1/(x^n) is an integer f...