In this lecture Professor Fraser will walk you through the Quadratic Formula and the Discriminant. First, you will cover the Quadratic Formula and the One Rational Root. After covering Why the Formula Works, as well as the Repeated Root or Double Root, you will cover Complex Solutions as well as the Discriminant, with its Values and Root Types.
formula can be used to solve any quadratic equation.
If you do not see
an easy way to factor a quadratic equation, use the formula.
discriminant is positive, the equation has 2 real roots.
discriminant is 0, it has one rational root.
discriminant is negative, it has two complex conjugate roots.
Quadratic Formula and the Discriminant
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.