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Math Help - Standard form of the quation of the ELLIPSE and graph

  1. #1
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    Standard form of the quation of the ELLIPSE and graph

    I have a problem finding the standard form for this equation:

    9x2 + 25y2 - 36x - 50y + 61 = 0

    I got stuck at this part.
    9(x-2)2 + 25(y-1)2 = 0

    What should I do next to make equal to 1 instead of 0? I've never seen problem like this before.
    what will the graph look like?
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  2. #2
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    Re: Standard form of the quation of the ELLIPSE and graph

    graph is a single point at (2,1)

    I can't remember the name for this ... I want to say a degenerate ellipse, but I can't say w/ certainty.
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  3. #3
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    Re: Standard form of the quation of the ELLIPSE and graph

    Yeah, you simply have an ellipse with radius r = 0 and - as skeeter said - with midpoint at (2,1).

    It's kinda like
    \\<br />
x^2 + y^2 = 1 \\<br />
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  4. #4
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    Re: Standard form of the quation of the ELLIPSE and graph

    Sorry, I meant

    x + y = 0
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