What is x^2+y^2+10y+18=0 ?

The solution to x^2+y^2+10y+18=0 is Circle with (a,b)=(0,-5),r=sqrt(7)

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x^2+y^2+10y+18=0

x^{2} + y^{2} + 10 y + 18 = 0

(a, b) = (0, - 5), r = 7

Solution steps

x^{2} + y^{2} + 10 y + 18 = 0

Rewrite

x^{2} + y^{2} + 10 y + 18 = 0

in the form of the standard circle equation

(x - 0)^{2} + (y - (- 5))^{2} = (7)^{2}

Therefore the circle properties are:

(a, b) = (0, - 5), r = 7

What is x^2+y^2+10y+18=0 ?
The solution to x^2+y^2+10y+18=0 is Circle with (a,b)=(0,-5),r=sqrt(7)