What is 4y^2-72y=316-4x^2-24x ?

The solution to 4y^2-72y=316-4x^2-24x is Circle with (a,b)=(-3,9),r=13

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4y^2-72y=316-4x^2-24x

4 y^{2} - 72 y = 316 - 4 x^{2} - 24 x

(a, b) = (- 3, 9), r = 13

Solution steps

4 y^{2} - 72 y = 316 - 4 x^{2} - 24 x

Rewrite

4 y^{2} - 72 y = 316 - 4 x^{2} - 24 x

in the form of the standard circle equation

(x - (- 3))^{2} + (y - 9)^{2} = 1 3^{2}

Therefore the circle properties are:

(a, b) = (- 3, 9), r = 13

(x - \frac{1}{2})^{2} + (y + \frac{1}{4})^{2} = 12

x^{(2)} + y^{(2)} + 4 x - 10 y = - 16

y^{2} = \frac{- 3 x ^{2} + 1}{3}

4 x^{2} + 4 x + 4 y^{2} - 24 y - 27 = 0

\frac{y ^{2}}{2} = - \frac{x ^{2}}{2} + 2

What is 4y^2-72y=316-4x^2-24x ?
The solution to 4y^2-72y=316-4x^2-24x is Circle with (a,b)=(-3,9),r=13