Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Review Problem Set - Page 274: 29


$\left\{-2, 2\right\}$

Work Step by Step

Divide $6$ on both sides to obtain: $n^2=4$ Subtract $4$ to both sides to obtain: $x^2-4 = 0$ Factor the difference of two square to obtain: $(x-2)(x+2)=0$ Equate each factor to 0 to obtain: $x-2=0 \text{ or } x+2=0$ Solve each equation to obtain: $x=2 \text{ or } x=-2$ Therefore, the solution set is $\left\{-2, 2\right\}$.
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