College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises - Page 131: 67



Work Step by Step

$x^{2}+x+1=0$ We use the quadratic formula ($a=1, b=1, c=1$): $\displaystyle x=\frac{-(1)\pm\sqrt{(1)^{2}-4*1*1}}{2(1)}=\frac{-1\pm\sqrt{1-4}}{2}=\frac{-1\pm\sqrt{-3}}{2}=\frac{-1\pm \sqrt{3}i}{2}=-\frac{1}{2}\pm\frac{\sqrt{3}}{2}i$
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.