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 Test: 11

Answer

$-1\pm\frac{\sqrt{2}}{2}i$

Work Step by Step

$2x^{2}+4x+3=0$ We use the quadratic formula ($a=2, b=4, c=3$): $x=\frac{-4\pm\sqrt{4^{2}-4*2*3}}{2*2}=\frac{-4\pm\sqrt{-8}}{4}=\frac{-4\pm2\sqrt{2}i}{4}=-1\pm\frac{\sqrt{2}}{2}i$
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