Question

Using the following equation, find the center and radius of the circle.

x^2 + 4x + y^2 − 6y = −4
step 1: (original equation) x^2 + 4x + y^2 − 6y = −4
step 2: (group the like terms)
step 3: (complete the quadratics)
step 4: (simplify the equation)
step 5: (factor each quadratic)
step 6: (identify the center and radius)

can someone help complete these steps in order

Answer 1

(x+2)^2+(y-3)^2=sqrt(17)
centre, ([-2,3])
radius sqrt 17