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 11 - Quadratic Functions and Equations - Mid-Chapter Review - Mixed Review - Page 733: 10


$y=2$ or $y=\displaystyle \frac{-5}{6}$

Work Step by Step

$ 6y^{2}-7y-10=0\qquad$... solve with the Quadratic formula. $y=\displaystyle \frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ $y=\displaystyle \frac{7\pm\sqrt{49+240}}{12}$ $y=\displaystyle \frac{7\pm\sqrt{289}}{12}$ $y=\displaystyle \frac{7\pm 17}{12}$ $y=\displaystyle \frac{7+17}{12}=\frac{24}{12}=2$ or $y=\displaystyle \frac{7-17}{12}=\frac{-10}{12}=\frac{-5}{6}$ $y=2$ or $y=\displaystyle \frac{-5}{6}$
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