1. ## Ellipse Query

Hello, can anybody help me write this Ellipse equation given to me
"x^2 + 25y^2 -2x + 150y + 201 = 0" in its standard Ellipse form, which i believe is this..

2. Originally Posted by 14041471
write this Ellipse equation given to me
"x^2 + 25y^2 -2x + 150y + 201 = 0" in its standard Ellipse form
Group the x- and y-terms together, with the stray constant term moved to the othe side of the equation:

. . . . . $x^2\, -\, 2x\, +\, 25y^2\, +\, 150y\, =\, -201$

Then complete the two squares, starting by:

. . . . . $\left(x^2\, -\, 2x\, +\, \mbox{ }\right)\, +\, 25\left(y^2\, +\, 6y\, +\, \mbox{ }\right)\, =\, -201$

If you get stuck in the process, please study one or more online lessons to remind yourself of how it works. If you grind to a halt, please reply showing how far you have gotten.

Thank you!

3. ## thanks

I tried to finish is myself and this was the outcome
(x-2) - 25(y+3) -201
=(x-2)^2/0 - (y+3)^2/-8.04

is that correct?

4. Originally Posted by 14041471
I tried to finish is myself and this was the outcome
(x-2) - 25(y+3) -201
I'm sorry, but I don't understand how you arrived at this expression...? You should, at every stage, have an equation.

Instead, try starting with the equation I gave you, and follow the steps in the completing-the-square process to fill in the empty spaces I'd left for you. Then divide through by whatever number you end up with on the righ-hand (non-variable) side of the equation to get "=1", and you're done!

Have fun!

5. Hello, can anybody help me write this Ellipse equation given to me
"x^2 + 25y^2 -2x + 150y + 201 = 0" in its standard Ellipse form, which i believe is this..