Question 95
Find all pairs $(a, b)$ of nonnegative integers $(a, b)$ such that
$$
a + 2b - b^{2} = \sqrt{2a + a^{2} + |2a + 1 - 2b|}
$$
$$
a + 2b - b^{2} = \sqrt{2a + a^{2} + |2a + 1 - 2b|}
$$
MathNet 2011 Question 95
Math Olympiad Vault · MathNet 2011