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

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) (Show Source): You can put this solution on YOUR website!
9x^2 + 25y^2=225
Divide both sides by 225

The center is at the origin (0, 0).
The length of the major axis is = 5 and the length of the minor axis is = 3.
Therefore, the vertices are (5, 0), (-5, 0), (0, 3), and (0, -3).
Here's the graph:

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