In this lesson on Solving Equations Using the Quadratic Formula, you will learn one of the most powerful tools. After learning how to apply the formula, you will discover the different types of solutions possible by examining the discriminant.A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real. The roots are given by the quadratic formula
You can use the
Quadratic Formula to solve any quadratic equation.
If you do not see
an easy way to factor a quadratic equation, use the formula.
is the radicand in the Quadratic Formula. Use it to determine the
number of real roots of a particular quadratic equation.
discriminant is positive, the equation has 2 real roots.
discriminant is 0, it has one rational root.
discriminant is negative, it has no real roots.
Solving Equations Using the Quadratic Formula
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.