Answer
$\{-\frac{1}{4}, 6 \}$
Work Step by Step
Step 1. Given $|4x^2-23x-6|=0$, remove the absolute sign to get $4x^2-23x-6=0$
Step 2. Factor and solve: $(x-6)(4x+1)=0$ which gives $x=-\frac{1}{4}, 6$ or $\{-\frac{1}{4}, 6 \}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises - Page 169: 89
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