X^2 +y^2+4x+2y-20=0Find the center h, kGraph the circle Find the radius Find the intercepts

The general form of the equation of a circle is given as

(x - h)^2 + (y - k)^2 = r^2

Hence given the circle X^2 +y^2+4x+2y-20=0

Rearranging the equation

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

Completing the square

X^2 +4x + 4+y^2+2y + 1= 20 + 4 + 1

factorizing

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

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

Comparing with the general form of the equation of a circle

(h,k) = (-2, -1)

The radius is 5

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