The discriminant is part of the quadratic formula, and it tells us how many answers there may be.

**Example 1:**

Plug into the discriminant formula to get.

Â

**Example 2:**

### Types of Discriminants

There are three main types of *discriminants*: **positive** , **negative**, and **0**.

- A
**positive**discriminant says that there are**2 solutions**to the quadratic equation. Examples (2) and (3) are positive, so that means they have possible solutions. - A
**negative**discriminant means that there is NO SOLUTION to the quadratic equation. Example (1) had a negative discriminant, so there was no solution. - A discriminant of
**0**means that there is only**1 solution**to the quadratic equation.