Maths Olympiad Prep

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, 2010

Number theory Difficulty 3.0 AMC 10/12 Prove it Canada

Determine all pairs of positive integers (x,y)(x, y) that satisfy the equation x2y2=420x^2 - y^2 = 420.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.