College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 59: 10


(a) yes (b) no

Work Step by Step

(a) Using $x=2$, we get: Left side: $\displaystyle \frac{1}{2}-\frac{1}{2-4}=\frac{1}{2}-\frac{1}{-2}=\frac{1}{2}+\frac{1}{2}=1$ Right side: $1$ The sides match, so $x=2$ is a solution. (b) Using $x=4$, we get: Left side: $\displaystyle \frac{1}{4}-\frac{1}{4-4}=undefined$ So $x=4$ is not a solution.
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