IMO 2018 Shortlist N5
Four positive integers x, y, z, and t satisfy the relations xy ´ zt “ x y “ z t. Is it possible that both xy and zt are ...
Category: Number Theory
Problem
Four positive integers x, y, z, and t satisfy the relations
xy ´ zt “ x y “ z t.
Is it possible that both xy and zt are perfe t squares?
(Russia)