Mary Jane Sterling - Algebra II - 1001 Practice Problems For Dummies (+ Free Online Practice)

45–50 Simplify the complex numbers.

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Chapter 2

A quadratic expression is one containing a term raised to the second power. When a quadratic expression is set equal to 0, you have an equation that has the possibility of two real solutions; for example, you may have an equation for which the answers are . Nonlinear inequalities can have an infinite number of solutions, so those answers are written with expressions such as x > 8 or x > –2; these solutions can also be written using interval notation.

In this chapter, you’ll work with quadratic equations and inequalities in the following ways:

Solving simple equations using the square root rule

Rewriting quadratics as the product of two binomials in order to solve them

Applying the quadratic formula

Completing the square

Solving quadratic-like equations

Finding the solutions of quadratic and other nonlinear inequalities

Don’t let common mistakes like the following ones trip you up when working with quadratic equations and inequalities:

Forgetting to consider ± x when using the square root rule

Reducing the fraction incorrectly when applying the quadratic formula

Stopping too soon when solving quadratic-like equations

Eliminating values as solutions when they create a 0 in the denominator of a fraction

51–60 Solve the equations using the square root rule.

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61–76 Solve the quadratic equations by factoring and applying the Multiplication Property of Zero.

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