Problem
ALG-B1-M12-P013 Variant 4, Problem 1
#13
★★★☆☆ Level 3 of 5
Find positive integer solutions of \(x^2-y^2=45\).
\((x-y)(x+y)=45\).
Pairs \(1,45\), \(3,15\), \(5,9\) give \((23,22),(9,6),(7,2)\).
Mock olympiad problem. Tags: factorisation.