SOLUTION: Find the coordinates of the center of the hyperbola and the values of a and b. 9y^2 + 6y = 89 + 8x^2 + 24x

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the coordinates of the center of the hyperbola and the values of a and b. 9y^2 + 6y = 89 + 8x^2 + 24x      Log On


   



Question 637416: Find the coordinates of the center of the hyperbola and the values of a and b.
9y^2 + 6y = 89 + 8x^2 + 24x

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
9y^2 + 6y - 8x^2 - 24x = 89 |Completingthe Squares
9(y + 1/3)^2 -8(x + 3/2)^2 = 89 + 1 - 18 = 72
%28y+%2B+1%2F3%29%5E2%2F8+-%28x+%2B+3%2F2%29%5E2%2F9++=+1