Standard form of the quation of the ELLIPSE and graph

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

9x^{2 }+ 25y^{2 }- 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?

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.

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

$\displaystyle \\

x^2 + y^2 = 1 \\

$

Re: Standard form of the quation of the ELLIPSE and graph

Sorry, I meant

x² + y² = 0