Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.3 Trigonometric Equations - 7.3 Assess Your Understanding - Page 465: 5

Answer

$0,\frac{5}{2}$

Work Step by Step

Step 1. Letting $u=2x-1$, we have $u^2-3u-4=0 \longrightarrow (u+1)(u-4)=0 \longrightarrow u=-1, 4$ Step 2. For $u=-1$, we have $2x-1=-1 \longrightarrow x=0$ Step 3. For $u=4$, we have $2x-1=4 \longrightarrow x=\frac{5}{2}$
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