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Prove that if x+ \frac{1}{x} is integer then x^n+ \frac{1}{x^n} is also integer for any positive...

Prove that if x+ \frac{1}{x} is integer then x^n+ \frac{1}{x^n} is also integer for any positive integer n.

KEY NOTE: PROVE BY INDUCTION

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Here is the required proof.I hope the answer will help you.Please give a thumbs up if you get benefited by my effort.Your feedback is very much precious to me.Thank you.

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