College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises - Page 131: 71


$\displaystyle -1\pm\frac{\sqrt{6}}{6}i$

Work Step by Step

$6x^{2}+12x+7=0$ We use the quadratic formula ($a=6, b=12, c=7$): $x=\displaystyle \frac{-12\pm\sqrt{(12)^{2}-4*6*7}}{2(6)}=\frac{-12\pm\sqrt{144-168}}{12}=\frac{-12\pm\sqrt{-24}}{12}=\frac{-12\pm 2\sqrt{6}i}{12}=\frac{-12}{12}\pm\frac{2\sqrt{6}i}{12}=-1\pm\frac{\sqrt{6}}{6}i$
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