You can put this solution on YOUR website!
put this conic section in standard form. What is the a^2 value? 25x^2+16y^2+150x=160y-225
complete the squares
This is an equation for an ellipse with vertical major axis of the standard form:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given equation: