# Positive product of sums

Author: mathforces
Problem has been solved: 75 times

Русский язык | English Language

Let $S$ be the set of sums of the numbers $p$ and $q$ such that both equations $x ^ 2 + px + q = 0$ and $x ^ 2 + qx + p = 0$ have integer roots. Find $| P (S) |$, where $P (S)$ is the product of all elements of the set $S$.