SOLUTION: An ellipse has the equation x^2+y^2=1 What are the coorinates of the foci ? _ _ 9 16 *[x^2 over 9] and [y^2 over 16

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: An ellipse has the equation x^2+y^2=1 What are the coorinates of the foci ? _ _ 9 16 *[x^2 over 9] and [y^2 over 16      Log On


   

Question 179196: An ellipse has the equation x^2+y^2=1 What are the coorinates of the foci ?
_ _
9 16
*[x^2 over 9] and [y^2 over 16]
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F9%2By%5E2%2F16=1
For this vertical ellipse,
b%5E2=a%5E2%2Bc%5E2
c%5E2=b%5E2-a%5E2
c%5E2=16-9
c%5E2=7
c=0%2B-sqrt%287%29
approximately,
Foci 1: (0,2.65)
Foci 2: (0,-2.65)