Using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit. x2 + 2x + y2 + 4y = 20 -!

 The required center of the given circle is (-1, -2) and radius is of length 5 units.

Step-by-step explanation:  We are given to find the center and the radius of the circle with the following equation :

We know that

the STANDARD equation of a circle with center (h, k) and radius of length r units is given by

From equation (i), we have

Comparing the above equation with the standard form, we get

center, (h, k) = (-1, -2)  and radius, r = 5 units.

Thus, the required center of the given circle is (-1, -2) and radius is of length 5 units.