What is y^2=-x^2+5x-6 ?

The solution to y^2=-x^2+5x-6 is Circle with (a,b)=(5/2 ,0),r= 1/2

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y^2=-x^2+5x-6

y^{2} = - x^{2} + 5 x - 6

(a, b) = (\frac{5}{2}, 0), r = \frac{1}{2}

Solution steps

y^{2} = - x^{2} + 5 x - 6

Rewrite

y^{2} = - x^{2} + 5 x - 6

in the form of the standard circle equation

(x - \frac{5}{2})^{2} + (y - 0)^{2} = (\frac{1}{2})^{2}

Therefore the circle properties are:

(a, b) = (\frac{5}{2}, 0), r = \frac{1}{2}

(x - 4)^{2} + (y + 1)^{2} = 9

(x + 5)^{2} + (y - 8)^{2} = 121

5 x^{2} + 5 y^{2} - 7 x + 11 y - 9 = 0

x^{2} + 10 x + y^{2} - 12 y = 3

x^{2} + y^{2} - 22 y - 5 = 0

What is y^2=-x^2+5x-6 ?
The solution to y^2=-x^2+5x-6 is Circle with (a,b)=(5/2 ,0),r= 1/2