Answer
See below.
Work Step by Step
$x+\overline{x}=(a+bi)+\overline{a+bi}=(a+bi)+(a-bi)=a+a+bi-bi=2a$
$x-\overline{x}=(a+bi)-\overline{a+bi}=(a+bi)-(a-bi)=a-a+bi+bi=2bi$
College Algebra (10th Edition)
by Sullivan, Michael
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: 89
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