Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - Guided Practice for Examples 3, 4, and 5 - Page 278: 14



Work Step by Step

We multiply by the conjugate to find: $$\frac{(5+2i)(3+2i)}{13} $$ For imaginary numbers, we know that standard form is $a\pm bi$, where $a$ is the real part and $b$ is the imaginary part. We also know that $i^2=-1$. Thus, we simplify the expression until it is in standard form to obtain: $$15-4 +10i+6i \\ 11+16i$$
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