College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Test: 7

Answer

The equation has no real solutions. (Complex solutions: $\frac{1\pm\sqrt{11}i}{6}$)

Work Step by Step

$3x^{2}-x+1=0$ We solve using the quadratic formula ($a=3,\ b=-1,\ c=1$): $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ $x=\displaystyle \frac{-(-1)\pm\sqrt{(-1)^{2}-4*3*1}}{2*3} =\displaystyle \frac{1\pm\sqrt{-11}}{6}=\frac{1\pm\sqrt{11}i}{6}$ However, we note that the discriminant is negative. Therefore, the equation has no real solutions.
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.