How can I showcase and figure out which conic section this equation is? 9x2 - 25y2 - 54x + 100y = 244 How can I identify if it's a parabola, ellipse, hyperbola, or a circle? and how do I showcase or prove if it's none of them?

How can I showcase and figure out which conic section this equation is? 9x2 - 25y2 - 54x + 100y = 244 How can I identify if it's a parabola, ellipse, hyperbola, or a circle? and how do I showcase or prove if it's none of them?

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

Section7.3: The Hyperbola

Problem 9E

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Question

How can I showcase and figure out which conic section this equation is?

9x² - 25y² - 54x + 100y = 244

How can I identify if it's a parabola, ellipse, hyperbola, or a circle? and how do I showcase or prove if it's none of them?

Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.

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