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 ✓

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 32E
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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
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