What is x^2+(y+5)^2=61 ?

The solution to x^2+(y+5)^2=61 is Circle with (a,b)=(0,-5),r=sqrt(61)

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x^2+(y+5)^2=61

x^{2} + (y + 5)^{2} = 61

(a, b) = (0, - 5), r = 61

Solution steps

x^{2} + (y + 5)^{2} = 61

Rewrite

x^{2} + (y + 5)^{2} = 61

in the form of the standard circle equation

(x - 0)^{2} + (y - (- 5))^{2} = (61)^{2}

Therefore the circle properties are:

(a, b) = (0, - 5), r = 61

x^{2} - 4 x + y^{2} - 6 y + 8 = 0

(x + 2)^{(2)} + (y - 1)^{(2)} = 3

3 x^{2} = - 3 y^{2} + 75

x^{(2)} + 10 x + y^{(2)} - 2 y = 10

x^{2} - 18 x + 29 + y^{2} = 0

What is x^2+(y+5)^2=61 ?
The solution to x^2+(y+5)^2=61 is Circle with (a,b)=(0,-5),r=sqrt(61)