# What is the discriminant of #x^2-9=0# and what does that mean?

##### 1 Answer

In your case,

#### Explanation:

The general form of a quadratic equation is

for which the *discriminant* is defined as

In your case,

A quadratic equation that has **two distinct, real solutions**. Moreover, since *perfect square*, two two solutions will be *rational numbers*.

The general form for the solutions of a quadratic equation is

In your case, those two solutions will be

Note that these solutions could have easily been determined by