SOLUTION: The Equation {{{9x^2-18x+4y^2+8y=23}}} defines an ellipse with center (____, ___). The major axis has length ___ and the minor axis has length ___

SOLUTION: The Equation {{{9x^2-18x+4y^2+8y=23}}} defines an ellipse with center (__, _). The major axis has length _ and the minor axis has length __.

Question 19417: The Equation defines an ellipse with center (____, ___). The major axis has length ___ and the minor axis has length ____.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You will need to get your equation into the standard form for an ellipse:

You can do this by completing the square in the x-terms and the y-terms. Start by groupng the x-terms together and grouping the y-terms together.
Now,factor a 9 from the x-group and factor a 4 from the y-group.
Complete the square in the x-terms within the parentheses by adding the square of half the x-coefficient to both sides of the equation, and do the same for the y-terms.

Now divide both sides by 36.
Factor the denominators.

This is the standard form of the equation for an ellipse with the center at (1, -1) and major axis is parallel to the y-axis. The length of the major axis is 3 and the length of the minor axis is 2
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SOLUTION: The Equation {{{9x^2-18x+4y^2+8y=23}}} defines an ellipse with center (____, ___). The major axis has length ___ and the minor axis has length ____.

SOLUTION: The Equation {{{9x^2-18x+4y^2+8y=23}}} defines an ellipse with center (__, _). The major axis has length _ and the minor axis has length __.