Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.1 - Complex Numbers - 8.1 Problem Set - Page 425: 28

Answer

$x=-2$ $y=-\frac{1}{2}$

Work Step by Step

In order to solve the question, the key step here is to compare and observe the individual parts - imaginary and real parts. bringing all the terms to one side, we have: $2+x-5i-10yi=0$ since the total sum of the real and imaginary parts are equal to $0$, this implies that the sum of the real parts is equal to $0$ and the sum of the imaginary part is equal to $0$ Therefore, The real part $2+x=0$, which gives $x=-2$ The imaginary part $-5-10y=0$, which gives $y=−\frac{1}{2}$
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