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: 69


$\displaystyle \frac{1}{2}\pm\frac{1}{2}i$

Work Step by Step

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