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: 75

Answer

The solutions are two complex numbers that are not real and are conjugates of each other.

Work Step by Step

The given quadratic equation has $a=3,b=-3$ and $c=4$. The discriminant is $b^2-4ac$ $=(-3)^2-4(3)(4)$ $=9-48$ $=-39$ Since $-39<0$, the solutions are two complex numbers that are not real and are conjugates of each other.
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