Answer
$\pm2,\pm5i$
Work Step by Step
1. $f(x)=x^4+21x^2-100=(x^2+25)(x^2-4)=(x^2+25)(x+2)(x-2)$
2. $f(x)=0$, we have $x=\pm2,\pm5i$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.2 The Inverse Trigonometric Functions (Continued) - 6.2 Assess Your Understanding - Page 482: 87
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