MathDB

1

Part of 1984 Poland - Second Round

Problems(1)

\sqrt{x} + \sqrt{y} = n , NT

Source: Polish MO Recond Round 1984 p1

9/9/2024
For a given natural number n n , find the number of solutions to the equation x+y=n \sqrt{x} + \sqrt{y} = n in natural numbers x,y x, y .
number theorydiophantineDiophantine equation