SOLUTION: X squared +4y squared-4x+8y=0 Write the conic section in standard form of an ellipse. Find the center and the foci

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: X squared +4y squared-4x+8y=0 Write the conic section in standard form of an ellipse. Find the center and the foci      Log On


   

Question 868711: X squared +4y squared-4x+8y=0
Write the conic section in standard form of an ellipse. Find the center and the foci
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

x^2 -4x + 4y^2 + 8y

%28x-2%29%5E2+%2B+4%28y%2B1%29%5E2+=+8

%28x-2%29%5E2%2F8+%2B+%28y%2B1%29%5E2%2F2+=+1

C(2,-1)

sqrt(8-2) = √6

Foci are: (2-√6, -1) and (2+√6, -1)