Completing a square to write equation in circle standard form

[amathproblemthatneedsolve]

I used this from your site to help, here

I want to make sure I've correctly solved the below.

Question:
[MATH]x^2+y^2-6x+4y+4=0[/MATH]
Working:
[MATH]x^2-6x+y^2+4y+4=0[/MATH]
[MATH](x^2-6x+3^2)+(y^2+4y+2^2)+4=3^2+2^2[/MATH]
[MATH](x-3)^2+(y+2)^2=9[/MATH]
[MATH](3,-2) , r=3[/MATH]

 

[Deleted member 4993]

I used this from your site to help, here

I want to make sure I've correctly solved the below.

Question:
[MATH]x^2+y^2-6x+4y+4=0[/MATH]
Working:
[MATH]x^2-6x+y^2+4y+4=0[/MATH]
[MATH](x^2-6x+3^2)+(y^2+4y+2^2)+4=3^2+2^2[/MATH]
[MATH](x-3)^2+(y+2)^2=9[/MATH]
[MATH](3,-2) , r=3[/MATH]

Looks good for government work.

 

[amathproblemthatneedsolve]

Looks good for government work.

Isn't government work usually bad?

 

[JeffM]

Isn't government work usually bad?

Not while I am Tsar of All the Russias!

 

[Steven G]

Don't mind Subhotosh today. Subhotosh's nephew, Sal, from Khan Academy has been giving him a hard time lately.

Your work is just fine! Good job!