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y^3+5=x(y^2+2) diophantine

Source: Norwegian Mathematical Olympiad 2003 - Abel Competition p2a

February 21, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

Find all pairs (x,y)(x, y) of integers numbers such that y3+5=x(y2+2)y^3+5=x(y^2+2)
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