Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 194: 17


$x=\frac{24}{4}=6 $ or $x=-\frac{5}{2}$

Work Step by Step

$f(x)=0$ $2x^2-7x-30=0$ ($a=2,b=-7,c=-30$): $x=\frac{-b±\sqrt {b^2-4ac}}{2a}=\frac{-(-7)±\sqrt {(-7)^2-4(2)(-30)}}{2(2)}=\frac{7±\sqrt {289}}{4}=\frac{7±17}{4}$ $x=\frac{24}{4}=6 $ or $x=\frac{-10}{4}=-\frac{5}{2}$
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