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x+y=x^2-xy+y^2 diophantine

Source: Singapore Junior Math Olympiad 2006 2nd Round p1 SMO

March 25, 2020
diophantineDiophantine equationnumber theory

Problem Statement

Find all integers x,yx,y that satisfy the equation x+y=x2āˆ’xy+y2x+y=x^2-xy+y^2
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