Geometry question

Question

What is the ordered pair of the center of a circle with the equation 

X^2+Y^2-22X+16Y=4X-8Y+38

Answer 1

What you must do is COMPLETE THE SQUARE twice, once involving the x terms and again involving the y terms.

 

In this way you can get the equation into the form (x-h)² + (y-k)² = r²; this reveals the center's coordinates, (h,k).