SOLUTION: Is the following equation an ellipse? I think it is but the 1 under the first part is making me question myself because it isn't "squared". (x-3)^2/1 + (y+1)^2/25

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Is the following equation an ellipse? I think it is but the 1 under the first part is making me question myself because it isn't "squared". (x-3)^2/1 + (y+1)^2/25      Log On


   



Question 64530: Is the following equation an ellipse? I think it is but the 1 under the first part is making me question myself because it isn't "squared".
(x-3)^2/1 + (y+1)^2/25

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The "equation" is really an "expression"! To be an equation, it must be equal to something!
%28%28x-2%29%5E2%29%2F1+%2B+%28%28y%2B1%29%5E2%29%2F25
In any case, if you set it equal to 1, then you have an equation for an ellipse because the first term is divided by a "square". 1%5E2+=+1 so you have:
%28%28x-2%29%5E2%29%2F1%5E2+%2B+%28%28y%2B1%29%5E2%29%2F5%5E2
This is the equation of an ellipse whose centre is at (2, -1) and whose major axis is parallel to the y-axis.