Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 128: 5


Solution: $x=0$, $x=3$ and $x=-3$

Work Step by Step

$6x^4-54x^2=0$ $6x^2(x^2-9)=0$ $6x^2=0$ $x^2=0$ $x=0$ or $x^2-9=0$ $x^2=9$ $x=±3$ Testing: $x=0$: $6(0)^4-54(0)^2=0-0=0$ $x=3$: $6(3)^4-54(3)^2=6(81)-54(9)=486-486=0$ $x=-3$: $6(-3)^4-54(-3)^2=6(81)-54(9)=486-486=0$
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