SOLUTION: find the vertices and foci of the ellipse given by the equations: 1- 9x^2 + 25y^2 = 225 2- 4x^2 + 9y^2 = 144 Thank you for any help you can give!

Algebra ->  Trigonometry-basics -> SOLUTION: find the vertices and foci of the ellipse given by the equations: 1- 9x^2 + 25y^2 = 225 2- 4x^2 + 9y^2 = 144 Thank you for any help you can give!      Log On


   



Question 859891: find the vertices and foci of the ellipse given by the equations:
1- 9x^2 + 25y^2 = 225
2- 4x^2 + 9y^2 = 144
Thank you for any help you can give!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
9x^2 + 25y^2 = 225
+x%5E2%2F5%5E2+%2B+y%5E2%2F3%5E3+=+1 C(0,0) x-axis the major axis
sqrt(25-9) = 4 , foci (-4,0) and (4,0)

4x^2 + 9y^2 = 144
x%5E2%2F6%5E2+%2B+y%5E2%2F4%5E2+=+4 C(0,0) x-axis the major axis
sqrt%2836-16%29+=+sqrt%2820%29+=+2sqrt%285%29
foci (-2sqrt%285%29, 0) and (2sqrt%285%29, 0)