Answer
$A$
Work Step by Step
Take the square root of both sides to obtain:
$\sqrt{x^2}=\pm \sqrt{-25}
\\x = \pm \sqrt{25(-1)}
\\x = \pm \sqrt{5^2(-1)}
\\x=\pm5\sqrt{-1}$
Since $\sqrt{-1}=i$, then,
$x=\pm i$
Thus, the answer is $A$.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 2
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