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 A61: 42

Answer

$3-4i$

Work Step by Step

Use $i^3=-i$ and $i^2=-1$ then simplify. $4i^3-2i^{2}+1\\ =4(-i)-2(-1)+1\\ =-4i+2+1\\ =-4i+3\\ =3-4i$ Hence, the solution in the standard form is $3-4i$.
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