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

Source: Polish MO Recond Round 1984 p1

September 9, 2024
number theorydiophantineDiophantine equation

Problem Statement

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 .
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