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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of the standard circle equation

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

Therefore the circle properties are:

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

x^{2} + 2 x + y^{2} - 18 y = - 57

(x + 4)^{2} + (y + 3)^{2} = 9

(x - 1)^{2} + (y - 2)^{2} = 123.21

x^{2} + y^{2} - 25 x - 25 y + 100 = 0

4 x^{2} + 4 y^{2} + 24 x - 32 y + 75 = 0

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