Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 297: 56


$2$ solutions if $4\gt c$, one solution is $4=c$, no solution if $4\lt x$.

Work Step by Step

The discriminant is $D=b^2-4ac$. If $D\gt0$ we have $2$, if $D=0$ we have one, and if $D\lt0$, we have no solution. Hence here $D=16-4c$. $16-4c\gt0\\16\gt4c\\4\gt c.$ $16-4c=0\\16=4c\\4= c.$ $16-4c\lt0\\16\lt4c\\4\lt c.$ Thus we have $2$ solutions if $4\gt c$, one solution if $4=c$, and no solution if $4\lt x$.
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.