What is y^2+x^2-2x+10y=-25 ?

The solution to y^2+x^2-2x+10y=-25 is Circle with (a,b)=(1,-5),r=1

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y^2+x^2-2x+10y=-25

y^{2} + x^{2} - 2 x + 10 y = - 25

(a, b) = (1, - 5), r = 1

Solution steps

y^{2} + x^{2} - 2 x + 10 y = - 25

Rewrite

y^{2} + x^{2} - 2 x + 10 y = - 25

in the form of the standard circle equation

(x - 1)^{2} + (y - (- 5))^{2} = 1^{2}

Therefore the circle properties are:

(a, b) = (1, - 5), r = 1

x^{2} + y^{2} - 10 x + 10 y + 25 = 0

(x - 5)^{2} + (y + 3)^{2} = 9

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

(x - 5)^{2} + (y + 3)^{2} = 4

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

What is y^2+x^2-2x+10y=-25 ?
The solution to y^2+x^2-2x+10y=-25 is Circle with (a,b)=(1,-5),r=1