Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Review: 63

Answer

$x_{1}= \sqrt{11}i$ and $x_{2}= -\sqrt{11}i$

Work Step by Step

Given $x^2+11=0$ $a=1,\ b=0,\ c=11$ Using the quadratic formula: $\dfrac{-b\pm \sqrt{b^2-4ac}}{2a} , $ we have: $\dfrac{-0\pm \sqrt{0^2-4\times 1\times 11}}{2\times 1} = \dfrac{\pm \sqrt{-44}}{2} = \pm \dfrac{ \sqrt{44}i}{2} = \pm \dfrac{ 2\sqrt{11}i}{2} = \pm \sqrt{11}i$ Therefore the solutions are: $x_{1}= \sqrt{11}i$ and $x_{2}= -\sqrt{11}i$
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