Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Review - Page 404: 66

Answer

$x=\{-7,7\}$

Work Step by Step

Multiplying both sides by the $LCD= 7x $, the value of the variable that satisfies the given equation, $ \dfrac{7}{x}-\dfrac{x}{7}=0 ,$ is \begin{array}{l}\require{cancel} 7(7)-x(x)=7x(0) \\\\ 49-x^2=0 \\\\ (7+x)(7-x)=0 \\\\ x=\{-7,7\} .\end{array}
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