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BALKAN 2017 Problem 1

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Find all ordered pairs (x,y)(x, y) of positive integers such that:

x3+y3=x2+42xy+y2. x^{3}+y^{3}=x^{2}+42 x y+y^{2} \text {. }

Dataset text NuminaMath olympiads. Quoted with source.

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(22,22),(1,7),(7,1)

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