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a+2b-b^2=\sqrt{2a+a^2+|2a+1-2b|}

Source: 2011 Saudi Arabia Pre-TST February 3.2

January 1, 2022
Diophantine equationdiophantinenumber theory

Problem Statement

Find all pairs of nonnegative integers (a,b)(a, b) such that a+2b−b2=2a+a2+∣2a+1−2b∣a+2b-b^2=\sqrt{2a+a^2+|2a+1-2b|}.
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