I was given this ellipse 4x^2 + 9y^2 - 8x + 36y + 4 = 0.
Im really unsure how to put it in it's standar form but i have to i beleive to help me.
I actually need to find the center and foci of the elliple, how would i go about doing that?
I was given this ellipse 4x^2 + 9y^2 - 8x + 36y + 4 = 0.
Im really unsure how to put it in it's standar form but i have to i beleive to help me.
I actually need to find the center and foci of the elliple, how would i go about doing that?
Hello, 14041471!
You've never done one of these before . . . ever?
(a) Write in standard form: .
(b) Find the center and foci of the ellipse.
(a) We have: .
Factor: .
Complete the square: .
Factor: .
Divide by 36: .
(b) The center is: .
We have: .
This is a "horizontal" ellipse; the foci on are the horizontal axis,
. . to the left and right of the center.
Since , we have: .
The foci are: .
Cheers. I understand that concept alot better now, I also need to find the length of the major and minor axis of the same ellipsis "4x^2 + 9y^2 - 8x + 36y + 4 = 0" how would i do that?
Edit: foget that i know now that
2a = 6 = big axis
and 2b = 4 = small axis