Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 76


$\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$

Work Step by Step

...subtract 15 $24x^{2}-2x-15=0$ ... factoring, we seek factors of $ac=-360$ whose sum is $b=-2$ ... we find +18 and -20 $24x^{2}-20x+18x-15=0$ $4x(6x-5)+3(6x-5)=0$ $(6x-5)(4x+3)=0$ $6x-5=0\displaystyle \quad\Rightarrow\quad x=\frac{5}{6}$ $4x+3=0\displaystyle \quad\Rightarrow\quad x=-\frac{3}{4}$ Solution set = $\displaystyle \{-\frac{3}{4},\frac{5}{6}\}$
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