Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises: 84

Answer

$z=a+bi$ So, $\frac{}{z}=a-bi$ $z=\frac{}{z}$ if and only if z is real

Work Step by Step

$z=a+bi$ Find the conjugate of the complex numbers by changing the sign of their imaginary part: $\frac{}{z}=a-bi$ $z=\frac{}{z}$ if and only if the imaginary part is not exist, then $z=\frac{}{z}=a$ Therefore, $z=\frac{}{z}$ if and only if z is real
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