Identify the following implicitly defined equation as having a graph that is a circle, an ellipse, or a hyperbola. Give a reason for each of our answers based on the equation in the given general form. 3x² + y² + ý+x+5g+8=0 Select an answer ✓

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 87E
icon
Related questions
Question
100%
Identify the following implicitly defined equation as having a graph that is a circle, an ellipse, or a
hyperbola.
Give a reason for each of our answers based on the equation in the given general form.
3x² + y² + x + 5y + 8 = 0
Select an answer ✓
Select an answer
Select an answer
The coefficients of the x^2 and y^2 terms are different positive numbers
The coefficients of the x^2 and y^2 terms are the same positive numbers
The coefficients of the x^2 and y^2 terms have opposite signs
Transcribed Image Text:Identify the following implicitly defined equation as having a graph that is a circle, an ellipse, or a hyperbola. Give a reason for each of our answers based on the equation in the given general form. 3x² + y² + x + 5y + 8 = 0 Select an answer ✓ Select an answer Select an answer The coefficients of the x^2 and y^2 terms are different positive numbers The coefficients of the x^2 and y^2 terms are the same positive numbers The coefficients of the x^2 and y^2 terms have opposite signs
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University