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: 30

Answer

Discriminant: $0$; Roots/solutions: Discriminant is zero which means that the quadratic equation will have one real solution.

Work Step by Step

Let us determine the discriminant of the quadratic equation $4x^2-20x+25=0$ which can be calculated as: $D=b^2-4ac=(-20)^2-(4)(4)(25)=0$ This implies that $D$ represents a zero value. Hence, our answer is: Discriminant: $0$; Roots/solutions: Discriminant is zero which means that the quadratic equation will have one real solution.
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