SOLUTION: I'm trying to determine the equation of an ellipse in standard form, then I need to find the center, vertices, and sketch the graph. The equation is 9x^2 + 25y^2=225. I know I need

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I'm trying to determine the equation of an ellipse in standard form, then I need to find the center, vertices, and sketch the graph. The equation is 9x^2 + 25y^2=225. I know I need      Log On


   



Question 943049: I'm trying to determine the equation of an ellipse in standard form, then I need to find the center, vertices, and sketch the graph. The equation is 9x^2 + 25y^2=225. I know I need to do something with completing the square but I'm not sure how to start. I've looked at all kinds of resources and haven't been able to find help. Please help! Thanks!
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2 + 25y^2=225
Divide both sides by 225
x%5E2%2F25+%2B+y%5E2%2F9+=+1
The center is at the origin (0, 0).
The length of the major axis is sqrt%2825%29 = 5 and the length of the minor axis is sqrt%289%29 = 3.
Therefore, the vertices are (5, 0), (-5, 0), (0, 3), and (0, -3).
Here's the graph: