Solve the following 3 quadratic equations using the quadratic formula: -b±yb²-4ac 2а a) 4x² + 12x + 9 = 0 6) x² – x + 3 = 0 %3D c) 2x2 + 5x – 2 = 0 d) The value under the radical (62 – 4ac) is called the discriminant. | Using the examples that you calculated above, explain how the discriminant determines how many real solutions there are for a quadratic equation.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 15CC
icon
Related questions
Question
Solve the following 3 quadratic equations
using the quadratic formula:
-b±yb²–4ac
2a
a) 4x2 + 12x + 9 = 0
b) x² – x + 3 = 0
-
c) 2x2 + 5x – 2 = 0
C
d) The value under the radical
(6² – 4ac) is called the discriminant.
Using the examples that you calculated
above, explain how the discriminant
determines how many real solutions there
are for a quadratic equation.
Transcribed Image Text:Solve the following 3 quadratic equations using the quadratic formula: -b±yb²–4ac 2a a) 4x2 + 12x + 9 = 0 b) x² – x + 3 = 0 - c) 2x2 + 5x – 2 = 0 C d) The value under the radical (6² – 4ac) is called the discriminant. Using the examples that you calculated above, explain how the discriminant determines how many real solutions there are for a quadratic equation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College