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

Source: 2010 Romania District VIII p4

September 1, 2024
Diophantine equationnumber theorydiophantine

Problem Statement

Find all non negative 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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