MathDB
Chisinau MO p169 1979 VIII x^8+1/x^8 is integer if x+1/x integer

Source:

March 17, 2021
algebranumber theoryInteger

Problem Statement

Prove that the number x8+1x8x^8+\frac{1}{x^8} is an integer if x+1xx+\frac{1}{x } is an integer.