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

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

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3x^2+3y^2=75

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

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

Solution steps

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

Rewrite

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

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} + 4 y^{2} + 6 x + 16 y + 21 = 0

y^{2} = 12 x

\frac{y ^{2}}{16} - \frac{x ^{2}}{9} = 1

x^{2} + y^{2} + 4 y = 0

\frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1

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