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Source: Moldova Junior TST 2008 Day 1 Problem 1

April 11, 2008
algebra proposedalgebra

Problem Statement

Find all integers (x,y,z) (x,y,z), satisfying equality: x^2(y \minus{} z) \plus{} y^2(z \minus{} x) \plus{} z^2(x \minus{} y) \equal{} 2