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: 2

Answer

$x=0$ or $x=\frac{1}{3}$

Work Step by Step

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