Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Exercises - Page 134: 70


$x=7$ and $x=-2$

Work Step by Step

$|2x-5|=9$ By the definition of absolute value, solving this equation is equivalent to solving two separate equations, which are: $2x-5=9$ and $2x-5=-9$ Solve both equations for $x$: $2x-5=9$ $2x=9+5$ $2x=14$ $x=\dfrac{14}{2}=7$ $2x-5=-9$ $2x=-9+5$ $2x=-4$ $x=-\dfrac{4}{2}=-2$
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