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: 27

Answer

$x=\frac{2}{3}$ $y=-\frac{1}{2}$

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: $4-6x+7i+14yi=0$ 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 $4-6x=0$, which gives $x=\frac{2}{3}$ The imaginary part $7+14y=0$, which gives $y=-\frac{1}{2}$
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