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 - Page 131: 84

Answer

See below.

Work Step by Step

The equation is: $z=\overline{z}\\a+bi=\overline{a+bi}\\a+bi=a-bi\\bi=-bi\\b=-b\\2b=0\\b=0$ Thus then $z=a+0\cdot i=a$, thus $z$ is real. Thus we proved what we had to.
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