SOLUTION: Find the center, vertices, foci and eccentricity of the ellipse 6x^2 + 2y^2 + 18x

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Question 1087973: Find the center, vertices, foci and eccentricity of the ellipse 6x^2 + 2y^2 + 18x - 10y + 2 = 0.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
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If you want to learn on how to solve these problems on your own, read the lessons
    - Ellipse definition, canonical equation, characteristic points and elements

    - Standard equation of an ellipse
    - Identify elements of an ellipse given by its standard equation
    - Find the standard equation of an ellipse given by its elements

    - General equation of an ellipse
    - Transform a general equation of an ellipse to the standard form by completing the square (*)
    - Identify elements of an ellipse given by its general equation (*)
in this site.

Everything is carefully explained there in all details.
Especially the lessons marked (*) are closest to your problem.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".

SOLUTION: Find the center, vertices, foci and eccentricity of the ellipse 6x^2 + 2y^2 + 18x - 10y + 2 = 0.