SOLUTION: All I really need to know is if I can put the equation {{{6x^2+6y^2=162}}} into the conic circle equation {{{(x-h)^2+(y-k)^2=r^2}}} I wanted to know if I could put it in like this

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: All I really need to know is if I can put the equation {{{6x^2+6y^2=162}}} into the conic circle equation {{{(x-h)^2+(y-k)^2=r^2}}} I wanted to know if I could put it in like this       Log On


   

Question 838274: All I really need to know is if I can put the equation 6x%5E2%2B6y%5E2=162 into the conic circle equation %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 I wanted to know if I could put it in like this %28x-6%29%5E2%2B%28y-6%29%5E2=sqrt%28164%29
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, because they wouldn't be equivalent.
%28x-6%29%5E2%2B%28y-6%29%5E2=sqrt%28164%29
x%5E2-12x%2B36%2By%5E2-12y%2B36=sqrt%28164%29
x%5E2%2By%5E2-12x-12y=sqrt%28164%29-72
Clearly those two equations are not identical.
.
.
.
6x%5E2%2B6y%5E2=162
Divide by 6
x%5E2%2By%5E2=27
Complete the square in x and y.
%28x-0%29%5E2%2B%28y-0%29%5E2=27
h=0
k=0
R=sqrt%2827%29=3sqrt%283%29