Question 89
Determine all pairs of positive integers $(x,y)$ satisfying
$$x+y+1\mid2xy\quad\text{and}\quad x+y-1\mid x^2+y^2-1.$$
$$x+y+1\mid2xy\quad\text{and}\quad x+y-1\mid x^2+y^2-1.$$
MathNet 2012 Question 89
Math Olympiad Vault · MathNet 2012
Math Olympiad Vault · MathNet 2012