IMO 2010 Shortlist N2

Find all pairs pm,nq of nonnegative integers for which m2 2 3n m 2n 1 1  . (1) (Australia)

IMO 2010 Shortlist N2

Category: Number Theory

Problem

Find all pairs pm,nq of nonnegative integers for which m2 2 3n m 2n 1 1  . (1) (Australia)