College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 112: 91

Answer

$\overline{z+w}= \overline{a+bi+c+di}$ $= \overline{(a+c)+(b+d)i}$ $=(a+c)-(b+d)i$ $=(a-bi)+(c-d)i $ $=\overline{z}+\overline{w}$

Work Step by Step

$\overline{z+w}= \overline{a+bi+c+di}$ $= \overline{(a+c)+(b+d)i}$ $=(a+c)-(b+d)i$ $=(a-bi)+(c-d)i $ $=\overline{z}+\overline{w}$
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