Module 6: Solving Quadratic Equations

Many real life situations model a quadratic equation, such as this fountain.

x2 + 7x − 12 = 0

x2 − 9 = 4

5x2 + x − 2 = 0

The given equations share one important characteristic: the largest exponent included in the equation is 2. These equations are referred to as quadratic equations. A quadratic equation is an equation that can be written in the form ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. In this module, you will learn multiple strategies to solve quadratic equations.

Getting Started

Getting started iconQuadratics and Projectile Motion PuzzleProjectiles, objects that can be thrown or launched, are a crucial component of many sports. Consider the game of football: it is impossible to play a football game without including the football. Quadratic equations can be used to model the motion of a projectile and determine the height of the object at specified times. In this non-graded interactivity, drag and drop the pieces of the puzzle to create a picture of the motion of a golf ball. Click the player button to get started.

Key Vocabulary

Glossary Icon
To view the definitions for these key vocabulary terms, visit the course glossary.

 

extraneous solution
factor completely
quadratic equation
quadratic formula
solution set
standard form of a quadratic equation
symmetric property
zero product property