O'Reilly logo

Algebra II Workbook For Dummies, 2nd Edition by Mary Jane Sterling

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 2

Handling Quadratic (and Quadratic-Like) Equations and Inequalities

In This Chapter

arrow Finding solutions with radicals

arrow Solving quadratic equations using factoring and the quadratic formula

arrow Completing the square

arrow Changing equations with higher powers to quadratic form

arrow Dealing with quadratic inequalities using number lines

Quadratic equations and inequalities include variables that have powers, or exponents, of 2. The power 2 opens up the possibilities for more solutions than do linear equations (whose variables have powers of 1 — see Chapter 1). For instance, the linear equation 2x + 3 = 5 has one solution, x = 1, but the quadratic equation 2x2 + 3 = 5 has two solutions, x = 1 and x = –1. You can solve quadratic equations through factoring, employing the quadratic formula, completing the square, or using the nifty square root rule when possible. Quadratic inequalities, on the other hand, are best solved by looking at intervals on a number line.

Some of the equations in this chapter ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required