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: 13

Answer

2.5-2.5i

Work Step by Step

Multiplying by the conjugate, we find: $$5(1-i)\times (.5)$$ 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: $$2.5-2.5i$$
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