College Algebra 7th Edition

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

Chapter 1, Equations and Graphs - Chapter 1 Review - Exercises - Page 170: 71


$-3\pm i$

Work Step by Step

$x^{2}+6x+10=0$ We use the quadratic formula ($a=1, b=6, c=10$): $x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=\frac{-6\pm\sqrt{6^{2}-4*1*10}}{2*1}=\frac{-6\pm\sqrt{36-40}}{2}=\frac{-6\pm\sqrt{-4}}{2}=\frac{-6\pm2i}{2}=-3\pm i$
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