Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.4 Quadratic Equations - 1.4 Exercises - Page 121: 5

Answer

$H$

Work Step by Step

Take the square root of both sides to obtain: $\sqrt{x^2}=\pm \sqrt{-20} \\x = \pm \sqrt{4(-1)5} \\x=\pm 2\sqrt{-1(5)}$ Since $\sqrt{-1}=i$, then the expression above simplifies to $x=\pm 2i\sqrt5$ Thus, the answer is $H$.
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