Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.5 Complex Numbers - 8.5 Exercises - Page 663: 47

Answer

$60.75-54i$

Work Step by Step

$(7.5+3i)(4.5-9i)$ =$7.5(4.5-9i)+3i(4.5-9i)$ =$7.5(4.5)-7.5(9i)+3i(4.5)-27i^{2}$ =$33.75-67.5i+13.5i-27(-1)$ =$33.75+27-67.5i+13.5i$ =$60.75-54i$
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