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: 63

Answer

$\frac{1}{2}\pm\frac{\sqrt{7}}{2}i$

Work Step by Step

$x^{2}-x+2=0$ We use the quadratic formula ($a=1, b=-1, c=2$): $x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=\frac{-(-1)\pm\sqrt{(-1)^{2}-4(1)(2)}}{2(1)}=\frac{1\pm\sqrt{1-8}}{2(1)}=\frac{1\pm\sqrt{-7}}{2}=\frac{1}{2}\pm\frac{\sqrt{7}}{2}i$
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