Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Quiz for Lessons 4.5-4.7 - Page 291: 4


$z=\pm 2i\sqrt{53}$

Work Step by Step

$-2z^{2}=424\qquad$ ...divide the entire expression with $-2$. $ z^{2}=-212\qquad$ ...take square roots of each side. $ z=\pm\sqrt{-212}\qquad$ ...simplify $\sqrt{-212}=i\sqrt{212}=i\sqrt{4\cdot 53}=2i\sqrt{53}$ $z=\pm 2i\sqrt{53}$
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