Find Positive Integers x and y | U.K Maths Olympiad 2011

Published: 07 April 2021
on channel: GG Maths
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Find all positive integers x and y such that x + y + 1 divides 2xy and x + y − 1 divides x² + y² − 1.

This problem comes from the: British Mathematical Olympiad. Round 2: Thursday, 27 January 2011

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