SOLUTION: Find the radius of the circle defined by the equation: 5x^2+5y^3+60x+40y+215=0. It tells me that the standard form of the equation of a circle is (x-h)^2+(y-k)^2=r^2 , but how do

Algebra ->  Circles -> SOLUTION: Find the radius of the circle defined by the equation: 5x^2+5y^3+60x+40y+215=0. It tells me that the standard form of the equation of a circle is (x-h)^2+(y-k)^2=r^2 , but how do       Log On


   



Question 376188: Find the radius of the circle defined by the equation: 5x^2+5y^3+60x+40y+215=0.
It tells me that the standard form of the equation of a circle is (x-h)^2+(y-k)^2=r^2 , but how do I go about putting this equation into standard form? I'm a bit confused please help.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You need to complete the square in x and y.
5x%5E2%2B5y%5E2%2B60x%2B40y%2B215=0
x%5E2%2B12x%2By%5E2%2B8y%2B43=0
%28x%5E2%2B12x%2B36%29%2B%28y%5E2%2B8y%2B16%29%2B43=36%2B16
%28x%2B6%29%5E2%2B%28y%2B4%29%5E2=52-16
highlight%28%28x%2B6%29%5E2%2B%28y%2B4%29%5E2=36%29