SOLUTION: Determine the center and radius of each circle and sketch graph: x^2-10x+y^2+8y=-10

Question 103514: Determine the center and radius of each circle and sketch graph: x^2-10x+y^2+8y=-10
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

The quickest way is to complete the square for both x and y. Then compare your equation to the equation of a circle and pick off the center of the circle and the radius.
Completing the square for x.
Completing the square for y.
where and
and and
Let's solve for B and A.

Let's solve for D and C.

Add A and C to both sides.
Substitute with the completed squares from above.
Substitute your calculated values for A,B,C,D.

The equation of a circle centered at (h,k) with a radius R.
In this case,
(h,k)=(5,-4) and

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