MathDB

28

Part of 1988 IMO Longlists

Problems(1)

x^n + (2+x)^n + (2-x)^n = 0

Source: IMO LongList 1988, Hong Kong 4, Problem 28 of ILL

10/22/2005
Find a necessary and sufficient condition on the natural number n n for the equation x^n \plus{} (2 \plus{} x)^n \plus{} (2 \minus{} x)^n \equal{} 0 to have a integral root.
calculusintegrationmodular arithmeticalgebrapolynomialalgebra unsolved