MathDB

2

Part of 1996 Nordic

Problems(1)

x^n+x^{-n} is an integer for all integers n

Source: Nordic Mathematical Contest 1996 #2

10/4/2017
Determine all real numbers xx, such that xn+xāˆ’nx^n+x^{-n} is an integer for all integers nn.
number theoryalgebraIntegerSum of powers