What is 1/2 y^2=-1/2 x^2+12.5 ?

The solution to 1/2 y^2=-1/2 x^2+12.5 is Circle with (a,b)=(0,0),r=5

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1/2 y^2=-1/2 x^2+12.5

\frac{1}{2} y^{2} = - \frac{1}{2} x^{2} + 12.5

(a, b) = (0, 0), r = 5

Solution steps

\frac{1}{2} y^{2} = - \frac{1}{2} x^{2} + 12.5

Rewrite

\frac{1}{2} y^{2} = - \frac{1}{2} x^{2} + 12.5

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (0, 0), r = 5

(x - 2)^{2} + (y + 3)^{2} = 11

x^{2} + y^{2} + 16 x - 14 y + 49 = 0

x^{2} + y^{2} + 2 x + 8 y - 19 = 0

5 x^{2} + 5 y^{2} - 2 x - 30 y + 42 = 0

2 x^{2} + 2 y^{2} + 6 x - 8 y = - 12

What is 1/2 y^2=-1/2 x^2+12.5 ?
The solution to 1/2 y^2=-1/2 x^2+12.5 is Circle with (a,b)=(0,0),r=5