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: 20


$i, -i, \frac{\sqrt7}{6}, -\frac{\sqrt7}{6}$

Work Step by Step

$36t^4+29t^2-7 = 36t^4+36t^2 - 7t^2-7 = 36t^2(t^2+1) - 7(t^2+1)=(36t^2-7)(t^2+1)=0$ Either $36t^2-7 = 0$ giving $x= \frac{\sqrt7}{6} or -\frac{\sqrt7}{6}$ or $t^2+1=0$ giving $x=i$ or $-i$
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