What is 3/2 x^2+3/2 y^2= 75/2 ?

The solution to 3/2 x^2+3/2 y^2= 75/2 is Circle with (a,b)=(0,0),r=5

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3/2 x^2+3/2 y^2= 75/2

\frac{3}{2} x^{2} + \frac{3}{2} y^{2} = \frac{75}{2}

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

Solution steps

\frac{3}{2} x^{2} + \frac{3}{2} y^{2} = \frac{75}{2}

Rewrite

\frac{3}{2} x^{2} + \frac{3}{2} y^{2} = \frac{75}{2}

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

16 x^{2} + 16 y^{2} + 8 x - 32 = - 1

4^{2} = (x + 4)^{2} + (y - 0)^{2}

4 x^{2} + 4 y^{2} = 128

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

x^{2} + y^{2} \geq 5

What is 3/2 x^2+3/2 y^2= 75/2 ?
The solution to 3/2 x^2+3/2 y^2= 75/2 is Circle with (a,b)=(0,0),r=5