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