Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.1 - Complex Numbers - Exercise Set - Page 315: 75

Answer

The provided statement does not make sense.

Work Step by Step

The imaginary number is also called a complex number, which is the product of a real number and an imaginary unit $i$. The variable is a term which does not have any fixed value. The number $5i$ shows an imaginary number, where $5$ is a constant or a real number and $i$ represents the imaginary unit. The imaginary unit $i$ is the solution of the equation ${{x}^{2}}=-1$ and its value is equal to$\sqrt{-1}$. In the number $5i$, the value of $i$ is equal to $\sqrt{-1}$, due to which it is not a variable. Therefore, the provided statement does not make sense.
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