Algebra: A Combined Approach (4th Edition)

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

Chapter 11 - Test - Page 832: 3


$x_{1}=\dfrac{1 + \sqrt{31}i}{2}$ and $x_{2}=\dfrac{1- \sqrt{31}i}{2}$

Work Step by Step

Given $m^2-m+8=0$ $a=1, \ b=-1, \ c=8$ Using the quadratic formula: $\dfrac{-b\pm \sqrt{b^2-4ac}}{2a} , $ we have: $\dfrac{-(-1)\pm \sqrt{(-1)^2-4\times 1\times 8}}{2\times 1} = \dfrac{1\pm \sqrt{1-32}}{2} = \dfrac{1\pm \sqrt{-31}}{2} = \dfrac{1\pm \sqrt{31}i}{2}$ Therefore the solutions are $x_{1}=\dfrac{1 + \sqrt{31}i}{2}$ and $x_{2}=\dfrac{1- \sqrt{31}i}{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.