This is a tutorial on using the discriminant and the quadratic formula to solve quadratic equations. We also discuss the relationship between the number of solutions the value of the discriminant. Detailed solutions and explanations are included. Exercises with answers are at the bottom of this page.
A quadratic equation in one variable is an equation that may be written in the form
a x 2 + b x + c = 0
where a, b and c are constants with a not equal to zero.
There are several methods to solve quadratic equations. In
this tutorial we use the the quadratic formulas and the discriminant.
The solutions to the above equation are given by the quadratic formulas.