MathDB

2

Part of 2019 Poland - Second Round

Problems(1)

Determine all integers

Source: 2019 Second Round - Poland

7/8/2019
Determine all nonnegative integers x,yx, y satisfying the equation \begin{align*} \sqrt{xy}=\sqrt{x+y}+\sqrt{x}+\sqrt{y}. \end{align*}
Integersalgebra