WILL MARK BRAINLIESTPLEASE IT IS URGENTComplete 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 + 2x + y2 + 4y = 20

center (-1,-2) radius 5

Step-by-step explanation:

Given

x^2 + 2x + y^2 + 4y = 20

complete the square

x^2 + 2x + (2/2)^2   + y^2 + 4y + (4/2)^2  = 20 + (2/2)^2 + (4/2)^2

simplify

x^2 + 2x + 1   + y^2 + 4y + 4  = 25

factor

(x + 1)^2 + ( y + 2)^2 = 25

put into standard form : (x-h)^2 + (y-k)^2 = r^2

(x + 1)^2 + ( y + 2)^2 = 5^2

center (-1,-2) radius 5

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