Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.6 Solving Quadratic Equations by Using the Quadratic Formula - 4.6 Exercises - Page 373: 35


$\color{blue}{\left\{5, 13\right\}}$

Work Step by Step

Subtract $8$ from each side: $$(x-9)^2=16$$ Take the square root of both sides: \begin{align*} \sqrt{(x-9)^2}&=\pm\sqrt{16}\\ x-9&=\pm4\\ \end{align*} Add $9$ to both sides: \begin{align*} x&=9\pm4\\ x_1&=9-4=5\\ x_2&=9+4=13 \end{align*} Therefore, the solution set is $\color{blue}{\left\{5, 13\right\}}$.
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