## Rational Quadratic

#### Problem

Given that `a` and `p` are positive integers and `p` is prime, find the values of `a` for which the following quadratic has rational roots.

`ax`^{2} `px` `p` = 0

Problem ID: 247 (28 Oct 2005) Difficulty: 3 Star

Given that `a` and `p` are positive integers and `p` is prime, find the values of `a` for which the following quadratic has rational roots.

`ax`^{2} `px` `p` = 0

Problem ID: 247 (28 Oct 2005) Difficulty: 3 Star