What is x(x-12)+y(y+2)=12 ?

The solution to x(x-12)+y(y+2)=12 is Circle with (a,b)=(6,-1),r=7

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x(x-12)+y(y+2)=12

x (x - 12) + y (y + 2) = 12

(a, b) = (6, - 1), r = 7

Solution steps

x (x - 12) + y (y + 2) = 12

Rewrite

x (x - 12) + y (y + 2) = 12

in the form of the standard circle equation

(x - 6)^{2} + (y - (- 1))^{2} = 7^{2}

Therefore the circle properties are:

(a, b) = (6, - 1), r = 7

(x^{2} + 4 x) + (y^{2} - 10 y) = - 4

x^{2} + y^{2} = (33)^{2}

(x - 4)^{2} + (y - 1)^{2} = 14

3 x^{2} + 3 y^{2} - 18 x + 6 y + 2 = 0

\frac{4 ( x + \frac{5}{2} ) ^{2}}{45} + \frac{4 ( y - 2 ) ^{2}}{45} = 1

What is x(x-12)+y(y+2)=12 ?
The solution to x(x-12)+y(y+2)=12 is Circle with (a,b)=(6,-1),r=7