MathDB
Maximum solution to Diophantine equation

Source: 2023 Israel National Olympiad P2

December 16, 2022
number theoryDiophantine equation

Problem Statement

The non-negative integers x,yx,y satisfy x+x+60=y\sqrt{x}+\sqrt{x+60}=\sqrt{y}. Find the largest possible value for xx.
Back to ProblemsView on AoPS