Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 57: 114

Answer

The two solutions are $x=\dfrac{3}{2}$ and $x=-\dfrac{3}{2}$

Work Step by Step

$|2x|=3$ By the definition of absolute value, solving this equation is equivalent to solving two separate equations, which are $2x=3$ and $2x=-3$ Solve both equations for $x$: $2x=3$ $x=\dfrac{3}{2}$ $2x=-3$ $x=-\dfrac{3}{2}$ The two solutions are $x=\dfrac{3}{2}$ and $x=-\dfrac{3}{2}$
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