Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.5 - Complex Zeros and the Fundamental Theorem of Algebra - 3.5 Exercises - Page 294: 72

Answer

(a) $\frac{1-4i}{2}$ (b) $0,i$ (c) $-i$ (d) $-i\pm2\sqrt 2i$

Work Step by Step

(a) $x=\frac{1-4i}{2}$ (b) $x(x-i)=0, x=0,i$ (c) $x=\frac{-2i\pm\sqrt {-4+4}}{2}=-i$ (d) $x^2+2ix+1=0,x=\frac{-2i\pm\sqrt {-4-4}}{2}=-i\pm2\sqrt 2i$
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