galactus
Jan 10, 2011, 08:14 AM
Yes. And do what?
Write it in the form, \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1
If so, complete the square on x and y.
2y^{2}+12y+5x^{2}-20x=-28
Complete square:
5(x^{2}-4x+4)+2(y^{2}+6y+9)=10
5(x-2)^{2}+2(y+3)^{2}=10
Divide by 10:
\frac{(x-2)^{2}}{2}+\frac{(y+3)^{2}}{5}=1
The ellipse has center (2,-3), Minor axis length \sqrt{2} and major axis length \sqrt{5}