SOLUTION: Please help me put this into general form of either circle, Ellipse or hyperbola: {{{ X^2-6x+y^2-12y=-20 }}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me put this into general form of either circle, Ellipse or hyperbola: {{{ X^2-6x+y^2-12y=-20 }}}       Log On


   

Question 579589: Please help me put this into general form of either circle, Ellipse or hyperbola: +X%5E2-6x%2By%5E2-12y=-20+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me put this into general form of either circle, Ellipse or hyperbola:
X^2-6x+y^2-12y=-20
complete the square
(x^2-6x+9)+(y^2-12y+36)=-20+9+36=25
(x-3)^2+(y-6)^2=25
This is an equation of a circle of standard form: (x-h)^2+(y-k)^2=r^2, (h,k) being the (x,y) coordinates of the center and r=radius.
For given equation:
center: (3,6)
radius=5