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a^2 + ab + b^2 = 1 diophantine

Source: 2004 Estonia National Olympiad Final Round grade 11 p1

March 25, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

Find all pairs of integers (a,b)(a, b) such that a2+ab+b2=1a^2 + ab + b^2 = 1
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