Question 40
Determine all real numbers $x$, such that
$$
x^{n}+x^{-n}
$$
is an integer for all integers $n$.
$$
x^{n}+x^{-n}
$$
is an integer for all integers $n$.
MathNet 1996 — Part 01 Question 40
Math Olympiad Vault · MathNet 1996 — Part 01
Math Olympiad Vault · MathNet 1996 — Part 01