What is x^2+x+y^2-65y=1 ?

The solution to x^2+x+y^2-65y=1 is Circle with (a,b)=(-1/2 , 65/2),r=(3sqrt(235))/(sqrt(2))

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x^2+x+y^2-65y=1

x^{2} + x + y^{2} - 65 y = 1

(a, b) = (- \frac{1}{2}, \frac{65}{2}), r = \frac{3 235}{2}

Solution steps

x^{2} + x + y^{2} - 65 y = 1

Rewrite

x^{2} + x + y^{2} - 65 y = 1

in the form of the standard circle equation

(x - (- \frac{1}{2}))^{2} + (y - \frac{65}{2})^{2} = (\frac{3 235}{2})^{2}

Therefore the circle properties are:

(a, b) = (- \frac{1}{2}, \frac{65}{2}), r = \frac{3 235}{2}

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What is x^2+x+y^2-65y=1 ?
The solution to x^2+x+y^2-65y=1 is Circle with (a,b)=(-1/2 , 65/2),r=(3sqrt(235))/(sqrt(2))