SOLUTION: I need to write the following in standard form can you help me? X^2+9y^2-4X+54Y+49=0 thank you so much

Question 307600: I need to write the following in standard form can you help me?
X^2+9y^2-4X+54Y+49=0 thank you so much

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Write in standard form:
Group like-terms together:
Subtract 49 from both sides.
Factor out a 9 from the second group.
Now complete the squares in x and y.
Factor the left side and simplify the right side.
Now divide through by 36.
Rewrite as:

You may recognize this as the equation of an ellipse, in standard form, whose major axis is parallel to the x-axis, with its center at (2, -3), its semi-major axis = 6 and its semi-minor axis = 2.
The standard form of the equation of an ellipse with its major axis parallel to the x-axis, center at (h, k), and looks like:

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