SOLUTION: Please help me with this problem! Find the standard form of the equation for the conic section represented by {{{x^2+y^2-10x+6y=47}}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me with this problem! Find the standard form of the equation for the conic section represented by {{{x^2+y^2-10x+6y=47}}}      Log On


   

Question 932636: Please help me with this problem! Find the standard form of the equation for the conic section represented by x%5E2%2By%5E2-10x%2B6y=47
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2-10x%2B6y=47
Complete the square in x and y.
x%5E2-10x%2By%5E2%2B6y=47
%28x%5E2-10x%2B25%29%2B%28y%5E2%2B6y%2B9%29=47%2B25%2B9
%28x-5%29%5E2%2B%28y%2B3%29%5E2=81
It's a circle centered at (5,-3) with a radius of 9.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2-10x%2B6y=47 Completing the Squares to Identify
(x-5)^2 + (y + 3)^2 = 47 + 25 + 9
(x-5)^2 + (y + 3)^2 = 81
circle C(5,-3), r = 9