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2m^2 +n^2 = 2mn+3n diophantine

Source: Norwegian Mathematical Olympiad 1999 - Abel Competition p2a

February 11, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

Find all integers mm and nn such that 2m2+n2=2mn+3n2m^2 +n^2 = 2mn+3n
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