What is x^2+y^2+6x+5y= 45/4 ?

The solution to x^2+y^2+6x+5y= 45/4 is Circle with (a,b)=(-3,-5/2),r=sqrt(53/2)

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x^2+y^2+6x+5y= 45/4

x^{2} + y^{2} + 6 x + 5 y = \frac{45}{4}

(a, b) = (- 3, - \frac{5}{2}), r = \frac{53}{2}

Solution steps

x^{2} + y^{2} + 6 x + 5 y = \frac{45}{4}

Rewrite

x^{2} + y^{2} + 6 x + 5 y = \frac{45}{4}

in the form of the standard circle equation

(x - (- 3))^{2} + (y - (- \frac{5}{2}))^{2} = (\frac{53}{2})^{2}

Therefore the circle properties are:

(a, b) = (- 3, - \frac{5}{2}), r = \frac{53}{2}

(x - 1)^{(2)} + (y + 3)^{(2)} = 4

x^{2} + y^{2} + 2 x - 6 y + 1 + 9 - 9 = 0

x^{2} + y^{2} + 2 x + 2 y - 23 = 0

x^{2} + 14 x + 12 y + y^{2} = - 21

3 x^{2} + 3 y^{2} + 18 x - 24 y + 63 = 0

What is x^2+y^2+6x+5y= 45/4 ?
The solution to x^2+y^2+6x+5y= 45/4 is Circle with (a,b)=(-3,-5/2),r=sqrt(53/2)