"complete the square" to convert the equation of each circle to graphing form. identify the center and the radius.

x² + 6x + y2 – 4y= -9

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

Comparing to:

The center is (-3,2) and the radius is r=2

first the equation needs to be simplified. so the equation would now look like:   52-24+11

then you multiply.

and when you multiply, you will get the answer of 39.