SOLUTION: Define the type of conic section and write standard equation 16x^2-96x-9y^2=288

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Define the type of conic section and write standard equation 16x^2-96x-9y^2=288      Log On


   

Question 867831: Define the type of conic section and write standard equation
16x^2-96x-9y^2=288
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Define the type of conic section and write standard equation
16x^2-96x-9y^2=288
complete the square:
16(x^2-6+9)-9y^2=288+144
16(x-3)^2-9y^2=432
divide by 432
%28x-3%29%5E2%2F27-y%5E2%2F48=1
This is an equation of a hyperbola with horizontal transverse axis and center at (3,0)
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=coordinates of center