SOLUTION: separately(a) identify the conic and (b) give its center for each equation 9x^2+4y^2-18x+16y=0 x^2-4y^2-4x-8y-4=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: separately(a) identify the conic and (b) give its center for each equation 9x^2+4y^2-18x+16y=0 x^2-4y^2-4x-8y-4=0      Log On


   

Question 182197: separately(a) identify the conic and (b) give its center for each equation
9x^2+4y^2-18x+16y=0

x^2-4y^2-4x-8y-4=0
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
9x^2+4y^2-18x+16y=0
:
9%28x%5E2-2x%2B1%29%2B4%28y%2B4y%2B4%29-9-16=0
:
9%28x-1%29%5E2%2B4%28y%2B2%29%5E2=25
:
9%28x-1%29%5E2%2F25%2B4%28y%2B2%29%5E2%2F25=1
:
center is (1,-2) and this is an ellipse
:
x^2-4y^2-4x-8y-4=0
:
%28x%5E2-4x%2B4%29-4%28y%5E2-2y%2B1%29-4%2B4-4=4
:
%28x-2%29%5E2-4%28y-1%29%5E2=4
:
%28x-2%29%5E2%2F4-%28y-1%29%5E2=1
:
center is at (2,1) and this is a hyperbola