Question 175
Find all pairs of positive integers $(x, y)$ so that
$$
x + y = \sqrt{x} + \sqrt{y} + \sqrt{xy}.
$$
$$
x + y = \sqrt{x} + \sqrt{y} + \sqrt{xy}.
$$
MathNet 2016-part-03 — 184 problems (EN–VI) Question 175
Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)