## 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.

Problem ID: 244 (19 Oct 2005) Difficulty: 4 Star