SOLUTION: Identify the conic. Choose the conic and its center. 16x2 + 25y2 - 96x - 200y = -144

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Identify the conic. Choose the conic and its center. 16x2 + 25y2 - 96x - 200y = -144      Log On


   

Question 556566: Identify the conic. Choose the conic and its center.

16x2 + 25y2 - 96x - 200y = -144
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the conic. Choose the conic and its center.
16x2 + 25y2 - 96x - 200y = -144
complete the square
16(x^2-6x+9)+25(y^2-8y+16)=-144+144+400=400
(x-3)^2/25+(y-4)^2/16=1
This is an equation of an ellipse with horizontal major axis.
Center: (3,4)