What is 72=x^2+6x+9+y^2-4y+4 ?

The solution to 72=x^2+6x+9+y^2-4y+4 is Circle with (a,b)=(-3,2),r=6sqrt(2)

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72=x^2+6x+9+y^2-4y+4

72 = x^{2} + 6 x + 9 + y^{2} - 4 y + 4

(a, b) = (- 3, 2), r = 62

Solution steps

72 = x^{2} + 6 x + 9 + y^{2} - 4 y + 4

Rewrite

72 = x^{2} + 6 x + 9 + y^{2} - 4 y + 4

in the form of the standard circle equation

(x - (- 3))^{2} + (y - 2)^{2} = (62)^{2}

Therefore the circle properties are:

(a, b) = (- 3, 2), r = 62

(x + 6)^{2} + (y - 4)^{2} = 16

x^{2} + y^{2} + 2 x + 16 y + 1 = 0

x^{2} + y^{2} - 14 x + 31 = 0

(x - 8)^{2} + (y - 4)^{2} = 25

x^{2} + y^{2} - 4 x + 10 y - 13 = 0

What is 72=x^2+6x+9+y^2-4y+4 ?
The solution to 72=x^2+6x+9+y^2-4y+4 is Circle with (a,b)=(-3,2),r=6sqrt(2)