College Algebra (10th Edition)

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: 7



Work Step by Step

RECALL: For quadratic equations with real number coefficients, if a complex number $a+bi$ is a solution of the equation, then its conjugate $a-bi$ will also be a solution of the equation. Thus, if $2-3i$ is a solution of a quadratic equation with real number coefficients, then its conjugate, which is $2+3i$, will also be a solution of the equation. $-2+3i$ is not the conjugate of $2-3i$. Thus, the given statement is false.
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