College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding: 60

Answer

$-2\pm 2i$

Work Step by Step

$x^{2}+4x+8=0$ We solve using the quadratic formula ($a=1,\ b=4,\ c=8$): $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ $x=\frac{-4\pm\sqrt{4^{2}-4(1)(8)}}{2(1)}$ $x=\frac{-4\pm\sqrt{16-32}}{2(1)}$ $x=\frac{-4\pm\sqrt{-16}}{2(1)}$ $x=\frac{-4\pm 4i}{2}=-2\pm 2i$ Recall, $i=\sqrt{-1}$
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