SOLUTION: (x squared plus 25y squared equals 100) x2 + 25y2 = 100 Graph each ellpise and find its foci. (x squared plus 25y squared equals 100)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: (x squared plus 25y squared equals 100) x2 + 25y2 = 100 Graph each ellpise and find its foci. (x squared plus 25y squared equals 100)      Log On


   

Question 42146: (x squared plus 25y squared equals 100)
x2 + 25y2 = 100
Graph each ellpise and find its foci.
(x squared plus 25y squared equals 100)
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+25y%5E2+=+100
x%5E2%2F100+%2B+y%5E2%2F4+=+1
This ellipse has a horizontal transverse axis, an a+=+10, a b+=+2, and a center at the origin, (0,0).
Foci:
c%5E2+=+a%5E2+-+b%5E2
c%5E2+=+10%5E2+-+2%5E2
c%5E2+=+100+-+4
c%5E2+=+96
c+=+sqrt%2896%29 or c+=+4%2Asqrt%286%29
Foci: (-4%2Asqrt%286%29,0) and (4%2Asqrt%286%29,0)