Solve Circle Equation: Complete the Square for Center & Radius

[srv96]

Homework Statement

I have no idea how to figure this out. Please help!:)
Complete the square to find the center and radius of the circle:
(equation of a circle:(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius)

y^2+12y=17-x^2+2x

(^2 = squared)

 

[Mark44]

Homework Statement

I have no idea how to figure this out. Please help!:)
Complete the square to find the center and radius of the circle:
(equation of a circle:(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius)

y^2+12y=17-x^2+2x

Move all of the terms except 17 to the left side, grouping the terms in x together and the terms in y together.

Do you know how to complete the square?

 

[srv96]

After completeing the square, I ended up with
y(y+12)+x(x-2)=17
Would the extra y's and x's cancel out and would the answer just become
(x-2)^2 + y(y+12)^2=square root of 17
and thanks for the previous help:)

 

[eumyang]

After completeing the square, I ended up with
y(y+12)+x(x-2)=17
Would the extra y's and x's cancel out and would the answer just become
(x-2)^2 + y(y+12)^2=square root of 17
and thanks for the previous help:)

No, that's not completing the square. Check your textbook again (if you have one). Or, here's an online lesson:
http://www.purplemath.com/modules/sqrcircle.htm"