Answer
$$x=\sqrt{6}i$$
Work Step by Step
We know that: $$\sqrt{-1}=i$$
Thus, we simplify the expression, replacing the square root of -1 with i when possible:
$$5x^2=-30 \\ x^2=-6 \\ x=\sqrt{-6} \\ x=\sqrt{6}i$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - Guided Practice for Example 1 - Page 275: 6
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