What is x^2+(y+8)^2=36 ?

The solution to x^2+(y+8)^2=36 is Circle with (a,b)=(0,-8),r=6

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x^2+(y+8)^2=36

x^{2} + (y + 8)^{2} = 36

(a, b) = (0, - 8), r = 6

Solution steps

x^{2} + (y + 8)^{2} = 36

Rewrite

x^{2} + (y + 8)^{2} = 36

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (0, - 8), r = 6

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

x^{2} + y^{2} - 10 x + 14 y + 25 = 0

5 x^{2} + 5 y^{2} + 30 x - 20 y + 20 = 0

x^{2} = 36 - y^{2}

4 x^{2} + 4 y^{2} = 36

What is x^2+(y+8)^2=36 ?
The solution to x^2+(y+8)^2=36 is Circle with (a,b)=(0,-8),r=6