Thread: 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?

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.

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

It's kinda like

Sorry, I meant

x² + y² = 0