Algebra and Trigonometry 10th Edition

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

Chapter 1 - Review Exercises - Page 153: 50

Answer

Solutions: $x=4$ $x=-\frac{7}{2}$

Work Step by Step

$2x^2-x-28=0~~$ ($a=2,b=-1,c=-28$) $x=\frac{-b±\sqrt {b^2-4ac}}{2a}=\frac{-(-1)±\sqrt {(-1)^2-4(2)(-28)}}{2(2)}=\frac{1±\sqrt {225}}{4}=\frac{1±15}{4}$ $x=\frac{16}{4}=4$ or $x=\frac{-14}{4}=-\frac{7}{2}$
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