
Impossible Quadratic
Problem
Given that $p$ and $q$ are prime, prove that $px$2
$qx$ + $q$ = 0 has no rational solutions.
Problem ID: 244 (19 Oct 2005) Difficulty: 4 Star

Given that $p$ and $q$ are prime, prove that $px$2
$qx$ + $q$ = 0 has no rational solutions.