Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.2 - The Quadratic Formula - Exercise Set - Page 607: 20

Answer

$33$; Roots/solutions: Two real irrational which will be conjugates of each other.

Work Step by Step

Let us determine the discriminant of the quadratic equation $x^2+7x+4=0$ which can be calculated as: $D=b^2-4ac=(7)^2-16=33$ This implies that $D$ represents a positive number and non-perfect square with solution of two unequal real numbers. Therefore, the roots will be of Two real irrational which will be conjugates of each other. Hence, our answer is: Discriminant: $33$; Roots/solutions: Two real irrational which will be conjugates of each other.
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.