Problem
NT-B1-M11-P021 Difference of Squares \(2025\)
#21
★★★★☆ Level 4 of 5
Find all pairs of positive integers \(x>y\) such that \(x^2-y^2=2025\).
Write \((x-y)(x+y)=2025\).
Let \(a=x-y\), \(b=x+y\). Then \(ab=2025\), \(a
Longer than a school exercise: full control of divisors matters.