# Standard form of the quation of the ELLIPSE and graph

• May 11th 2012, 12:26 AM
Crysland
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?
• May 11th 2012, 05:46 AM
skeeter
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.
• May 11th 2012, 06:05 AM
mastermind2007
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
$\\
x^2 + y^2 = 1 \\
$
• May 11th 2012, 06:06 AM
mastermind2007
Re: Standard form of the quation of the ELLIPSE and graph
Sorry, I meant

x² + y² = 0