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: 66

Answer

$\displaystyle 3\pm i$

Work Step by Step

$\displaystyle x^{2}-6x+10=0$ We use the quadratic formula ($a=1, b=-6, c=10$): $\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^{2}-4*1*10}}{2(1)}=\frac{6\pm\sqrt{36-40}}{2}=\frac{6\pm\sqrt{-4}}{2}=\frac{6\pm 2i}{2}=3\pm i$
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