Lesson 4: The Quadratic Formula

Objective: Solve quadratic equations using the quadratic formula.

The quadratic formula can be used to solve any quadratic equation that has been written in standard form, ax² + bx + c = 0. The values of a, b, and c are determined from the equation, and these values can be used to find the solutions by substitution into the quadratic formula:

The quadratic formula works because of the process of completing the square. Watch the video below to see how the quadratic formula can be derived by completing the square on standard form of a quadratic equation.

Watch the video below to see examples of how to solve quadratic equations using the quadratic formula.

Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.