URGENT NEED ANSWERS ASAP 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. x2 + 4x + y2 − 6y = −4

centre = (- 2, 3 ), radius = 3

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 4x + y² - 6y = - 4

Using the method of completing the square.

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = - 4 + 4 + 9, that is

(x + 2)² + (y - 3)² = 9 ← in standard form

with centre = (- 2, 3 ) and r = = 3