Question 74
Determine all pairs of positive integers $(a,b)$ such that
$$a^2+b\mid a^2b+a\quad\text{and}\quad b^2-a\mid ab^2+b.$$
$$a^2+b\mid a^2b+a\quad\text{and}\quad b^2-a\mid ab^2+b.$$
MathNet 2014 Question 74
Math Olympiad Vault · MathNet 2014
Math Olympiad Vault · MathNet 2014