Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.7 Complex Numbers; Quadratic Equations in the Complex Number System - A.7 Assess Your Understanding - Page A60: 23

Answer

$37$

Work Step by Step

Use FOIL method. $(-6+i)(-6-i)=(-6)\cdot (-6)+(-6)\cdot (-i)-i\cdot 6-i\cdot i$ Simplify. $=36+6i-6i-i^2$ $=36-i^2$ Use $i^2=-1$. $=36-(-1)$ Simplify. $=36+1$ $=37$ Hence, the solution in the standard form is $37$.
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