In the Quadratic Formula and Discriminant, you first begin with the quadratic formula which utilizes the standard form before moving into one rational root and complex solutions. Then you will discover the usage of the discriminant in deducing the roots of an equation such as perfect square discriminant, not perfect square discriminant, negative discriminant, and zero discriminant. At the end are four examples to test your new knowledge.
The quadratic 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.
If the discriminant is positive, the equation has 2 real roots.
If the discriminant is 0, it has one rational root.
If the 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.