Answer
37
Work Step by Step
Recall, $i=\sqrt{-1}$, so $i^{2}=-1$. Thus, using the distributive property, we obtain:
$(-6+i)(-6-i)
=-6*-6+6i-6i-i*i
=36+6i-6i-i^{2}
=36-(-1)
=37$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 111: 23
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