Question 26
Suppose $p$ is a prime greater than $3$. Find all pairs of integers $(a, b)$ satisfying the equation
$$
a^{2} + 3 a b + 2 p(a + b) + p^{2} = 0
$$
$$
a^{2} + 3 a b + 2 p(a + b) + p^{2} = 0
$$
MathNet 2004 — Part 02 Question 26
Math Olympiad Vault · MathNet 2004 — Part 02