Quadratic Equations - One rational solution? I have a question that I am working on:
Which of the following will give one rational solution?
4x^2 = 9
4x^2 - 12x = -9
x^2 = 5
x^2 - 2x + 14 = 0
2x^2 = x

I am not asking for the answer, I am actually trying to understand what the question means. i.e. What does it mean when it says "one rational solution"?

A rational solution will be a solution that is a rational number.
That is, the number will be of the form $$\dfrac{p}{q}, \text{ where }p,q\in\mathbb{Z}, q\neq 0$$
