IMO 2014 Shortlist N2
Determine all pairs px,yq of positive integers such that a 7x2 ´ 13xy 7y2 “ |x ´ y| 1. (U.S.A.)
Category: Number Theory
Problem
Determine all pairs px,yq of positive integers such that
a
7x2 ´ 13xy 7y2 “ |x ´ y| 1.
(U.S.A.)
Determine all pairs px,yq of positive integers such that a 7x2 ´ 13xy 7y2 “ |x ´ y| 1. (U.S.A.)
Category: Number Theory
Determine all pairs px,yq of positive integers such that
a
7x2 ´ 13xy 7y2 “ |x ´ y| 1.
(U.S.A.)