Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.1 Complex Numbers - 8.1 Exercises: 11

Answer

complex, non-real complex

Work Step by Step

If $a$ and $b$ are real numbers, then any number of the form $a+bi$ is a complex number. Since $a=5$ and $b=1$ and both $a$ and $b$ are real numbers, $5+i$ is a complex number. Non-real complex numbers are complex numbers of the form $a+bi$ where $b\ne0$. Since $5+i$ fufills these prerequisites, it can be labelled as a non-real complex number as well.
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