What is (x-sqrt(5))^2+(y+2)^2=121 ?

The solution to (x-sqrt(5))^2+(y+2)^2=121 is Circle with (a,b)=(sqrt(5),-2),r=11

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(x-sqrt(5))^2+(y+2)^2=121

(x - 5)^{2} + (y + 2)^{2} = 121

(a, b) = (5, - 2), r = 11

Solution steps

(x - 5)^{2} + (y + 2)^{2} = 121

Rewrite

(x - 5)^{2} + (y + 2)^{2} = 121

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (5, - 2), r = 11

x^{2} + y^{2} + 5 x + 4 y = 46

9 x^{2} + 9 y^{2} - 6 x + 12 y + 4 = 0

x^{2} + y^{2} + 10 x - 16 y - 55 = 0

(x + 8)^{2} + (y + 5)^{2} = 256

x^{2} - 16 x + y^{2} - 36 = 0

What is (x-sqrt(5))^2+(y+2)^2=121 ?
The solution to (x-sqrt(5))^2+(y+2)^2=121 is Circle with (a,b)=(sqrt(5),-2),r=11