Videos to help Algebra I students learn how to derive the quadratic formula by completing the square for a general quadratic equation in standard form, ax

New York State Common Core Math Module 4, Algebra I, Lesson 14

Related Topics:

Lesson Plans and Worksheets for Algebra I

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra I

Common Core For Algebra I

Lesson 14 Summary

The quadratic formula is derived by completing the square on the general form of a quadratic equation ax^{2} + bx + c = 0, where a ≠ 0. The formula can be used to solve any quadratic equation and is especially useful for those that are not easily solved by using any other method (i.e., by factoring or completing the square).

Lesson 14 Problem Set Sample Solutions

Use the quadratic formula to solve each equation.

1. Solve for z. z^{2} - 3z - 8 = 0

2. Solve for q. q^{2} -8 = 3q

3. Solve for m. 1/3 m^{2} + 2m + 8 = 5

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.