Answer:
center is (2,-3)
Radius =
Step-by-step explanation:
To find out the center and radius we write the given equation in
(x-h)^2 +(y-k)^2 = r^2 form
Apply completing the square method
factor out 2 from each group
Take half of coefficient of middle term of each group and square it
add and subtract the numbers
4/2= 2, 2^2 = 4
6/2= 3, 3^2 = 9
now multiply -4 and -9 with 2 to take out from parenthesis
Divide whole equation by 2
Add 6 on both sides
now compare with equation
(x-h)^2 + (y-k)^2 = r^2
center is (h,k) and radius is r
center is (2,-3)
r^2 = 6
Radius =