What is 3x^2-15x=-3y^2 ?

The solution to 3x^2-15x=-3y^2 is Circle with (a,b)=(5/2 ,0),r= 5/2

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3x^2-15x=-3y^2

3 x^{2} - 15 x = - 3 y^{2}

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

Solution steps

3 x^{2} - 15 x = - 3 y^{2}

Rewrite

3 x^{2} - 15 x = - 3 y^{2}

in the form of the standard circle equation

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

Therefore the circle properties are:

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

(x^{2} - 10 x) + (y^{2} + 9 y) = - 1

x^{2} + y^{2} - 4 x + 2 y > 4

4 x - 8 y + 12 = x^{2} + y^{2}

y^{2} - 26 x + 25 y + 5 = - x^{2}

(x - 5)^{2} + (y - 22)^{2} = 10

What is 3x^2-15x=-3y^2 ?
The solution to 3x^2-15x=-3y^2 is Circle with (a,b)=(5/2 ,0),r= 5/2