Aim: How do we use the discriminant to find the number of solutions to a quadratic equation?

The discriminant is: b^2-4ac
If b^2-4ac is greater than 0, then you'll get two solution's.
If b^2-4ac is equal to 0, then you'll get one solution.
If b^2-4ac is less than 0, then you'll get no solutions.

When you have a quadratic equation and your using the discriminant, you first find what a, b, and c equal.
Quadratic equation example: x^2+6x+9=0
A equals: x^2 of a quadratic equation
B equals: 6x
C equals: 9
You then use the discriminant: b^2-4ac, to find how many solutions the quadratic equation has.