# Chapter 5: Quadratic Equations

Difficulty Level:

**At Grade**Created by: CK-12

## Introduction

In this chapter we explore functions that are no longer linear. We will introduce a quadratic equation or an equation where the largest \begin{align*}x-\end{align*}value is squared. In addition, we will learn how to solve a quadratic equation: by factoring, using square roots, completing the square, and the Quadratic Formula. We will also introduce complex, or imaginary, numbers. Lastly, we will analyze the graph of a quadratic and use it to approximate data.

## Chapter Outline

- 5.1. Factoring When the Leading Coefficient Equals 1
- 5.2. Factoring When the Leading Coefficient Doesn't Equal 1
- 5.3. Factoring Special Quadratics
- 5.4. Solving Quadratics using Factoring
- 5.5. Simplifying Square Roots
- 5.6. Dividing Square Roots
- 5.7. Solving Quadratics Using Square Roots
- 5.8. Defining Complex Numbers
- 5.9. Multiplying and Dividing Complex Numbers
- 5.10. Solving Quadratic Equations with Complex Number Solutions
- 5.11. Completing the Square When the Leading Coefficient Equals 1
- 5.12. Completing the Square When the Leading Coefficient Doesn't Equal 1
- 5.13. Deriving and Using the Quadratic Formula
- 5.14. Using the Discriminant
- 5.15. Finding the Parts of a Parabola
- 5.16. Vertex, Intercept, and Standard Form
- 5.17. Using the Graphing Calculator to Graph Quadratic Equations
- 5.18. Modeling with Quadratic Functions

### Chapter Summary

## Summary

In this chapter, you will learn all about quadratic functions. You will learn how to solve quadratic equations by factoring, completing the square, and the Quadratic Formula. Then, you will learn how to graph them, find the intercepts and vertex.

### Image Attributions

## Description

This chapter covers solving quadratic equations, complex numbers, and analyzing graphs of quadratic equations.

## Difficulty Level:

At Grade## Tags:

## Subjects:

## Date Created:

Mar 12, 2013## Last Modified:

Apr 29, 2014
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