Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-6 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 46: 12


$x=-6\text{ OR }x=12$

Work Step by Step

Since for any $c\gt0$, $|x|=c$ implies $x=c \text{ or } x=-c,$ the given equation, $ |x-3|=9 ,$ is equivalent to \begin{array}{l}\require{cancel} x-3=9 \\\\\text{OR}\\\\ x-3=-9 .\end{array} Solving each equation results to \begin{array}{l}\require{cancel} x-3=9 \\ x-3+3=9+3 \\ x=12 \\\\\text{OR}\\\\ x-3=-9 \\ x-3+3=-9+3 \\ x=-6 .\end{array} Hence, $ x=-6\text{ OR }x=12 .$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.