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Diophantine equation x^3y + x + y = xy + 2xy^2

Source: XVIII Cono Sur Mathematical Olympiad (2007)

August 10, 2011
number theory unsolvednumber theory

Problem Statement

Find all pairs (x,y)(x,y) of nonnegative integers that satisfy x3y+x+y=xy+2xy2.x^3y+x+y=xy+2xy^2.
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