Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Review - Page 331: 130


$x=0$ and $x=3$ and $x=-3$

Work Step by Step

$4x^{3}-36x=0$ Factor out $4x$ $4x(x^{2}-9)=0$ Using the Zero Product Property $4x=0$ and $x^{2}-9=0$ The first equation $4x=0$ Divide by $4$ $x=0$ The second equation $x^{2}-9=0$ Add $9$ to both sides $x^{2}=9$ Square root both sides $x=3$ and $x=-3$
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