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Part of 2008 Junior Balkan Team Selection Tests - Moldova

Problems(1)

Find triplets...

Source: Moldova Junior TST 2008 Day 1 Problem 1

Find all integers

(x,y,z)

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

algebra proposedalgebra