Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - Chapter Review - Cumulative Review - Page 117: 4

Answer

$x=\dfrac{1}{3}$ or $x=\dfrac{1}{2}$

Work Step by Step

Factor the trinomial to otbain $(3x-1)(2x-1)=0$ Use the Zero Product Property by equating each factor to zero, then solve each equation to obtain \begin{align*} 3x-1&=0\ &\text{or}& &2x-1=0\\ 3x&=1 &\text{or}& &2x=1\\ x&=\frac{1}{3} &\text{or}& &x=\frac{1}{2} \end{align*}
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