MathCastle
Number TheorySuperchallengeDiophantine Equations

Diophantine Equations · Superchallenge problem

How many ordered pairs of positive integers (x,y)(x, y) with x≤1000x \le 1000 and y≤1000y \le 1000 satisfy x2+y2+2=4xyx^2 + y^2 + 2 = 4xy?