Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit. x^2 + 4x + y^2 - 6y = -4

Step-by-step explanation:

x² + 4x + y² − 6y = -4

x² + 4x + (4/2)² + y² − 6y + (-6/2)² = -4 + (4/2)² + (-6/2)²

x² + 4x + 4 + y² − 6y + 9 = -4 + 4 + 9

(x + 2)² + (y − 3)² = 9

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