Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises - Page 64: 10

Answer

The real part of the complex number (4+7i)/2 is 2, and the imaginary part is 7/2.

Work Step by Step

Complex numbers are written in the form a+bi, with a being the real number and b being the imaginary number. The complex number (4+7i)/2 can be rewritten as 4/2 + 7i/2, making it easier to see that a = 2, and b = 7/2, so 2 is the real part of the complex number and 7/2 is the imaginary part of the complex number.
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