Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.1 Complex Numbers - 8.1 Exercises - Page 365: 115


$Z = \frac{233}{37} + \frac{119}{37} i$

Work Step by Step

For $E=IZ$, where $I=7+5i$ and $E=28+54i$, $(28+54i) = (7+5i)Z$ $Z = \frac{(28+54i)}{(7+5i)}$ $Z = \frac{(28+54i)(7-5i)}{(7+5i)(7-5i)}$ $Z = \frac{(196-140i+378i-270i^2)}{(49-25i^2)}$ $Z = \frac{(466+238i)}{74}$ $Z = \frac{233}{37} + \frac{119}{37} i$
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