MathDB
x,y\in N*, 3x^2+x=4y^2+y => x-y perfect integer (HOMC 2010 Q9)

Source:

July 25, 2019
number theorydiophantine

Problem Statement

Let x,yx,y be the positive integers such that 3x2+x=4y2+y3x^2 +x = 4y^2 + y. Prove that xāˆ’yx - y is a perfect (square).
Back to ProblemsView on AoPS