Hi,

I have this proof that I can't find. I have to use strong induction but I don't know how to use it in this case.

Suppose x is a real number, $\displaystyle x \neq 0$ and $\displaystyle x+1/x$ is an integer. Prove by strong induction that for all n ≥ 1, $\displaystyle x^n +1/x^n$ is an integer.

Could someone help me?