Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.3 - Polar Form of Complex Numbers; De Moivre's Theorem - 8.3 Exercises - Page 610: 19

Answer

please see graph .

Work Step by Step

See p. 602, Graphing Complex Numbers The complex plane is determined by the real axis and the imaginary axis. To graph the complex number a + bi, we plot the ordered pair of numbers (a,b) in this plane. ------------- $z_{1}=2-i$, plot ($2,-1)$ $z_{2}=2+i$, plot ($2,1)$ $z_{1}+z_{2}=2-i+(2+i)=4$ $=4+0i,$ plot ($4,0)$ $z_{1}z_{2}=(2-i)(2+i)$ = difference of squares, $=2^{2}-i^{2}=4-(-1)=5$ = 5 + 0i, plot ($5,0)$
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