Question 172
Determine all pairs of positive integers $(a, b)$ such that
$$
\frac{a^2}{2ab^2 - b^3 + 1}
$$
is a positive integer.
$$
\frac{a^2}{2ab^2 - b^3 + 1}
$$
is a positive integer.
MathNet 2003 — Part 02 Question 172
Math Olympiad Vault · MathNet 2003 — Part 02