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: 68

Answer

$\displaystyle \frac{3}{2}\pm\frac{\sqrt{3}}{2}i$

Work Step by Step

$x^{2}-3x+3=0$ We use the quadratic formula ($a=1, b=-3, c=3$): $\displaystyle x=\frac{-(-3)\pm\sqrt{(-3)^{2}-4*1*3}}{2(1)}=\frac{3\pm\sqrt{9-12}}{2}=\frac{3\pm\sqrt{-3}}{2}=\frac{3\pm \sqrt{3}i}{2}=\frac{3}{2}\pm\frac{\sqrt{3}}{2}i$
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