What is 3x^2+3y^2-30x-6y+75=0 ?

The solution to 3x^2+3y^2-30x-6y+75=0 is Circle with (a,b)=(5,1),r=1

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3x^2+3y^2-30x-6y+75=0

3 x^{2} + 3 y^{2} - 30 x - 6 y + 75 = 0

(a, b) = (5, 1), r = 1

Solution steps

3 x^{2} + 3 y^{2} - 30 x - 6 y + 75 = 0

Rewrite

3 x^{2} + 3 y^{2} - 30 x - 6 y + 75 = 0

in the form of the standard circle equation

(x - 5)^{2} + (y - 1)^{2} = 1^{2}

Therefore the circle properties are:

(a, b) = (5, 1), r = 1

0.2 x^{2} + x + 0.2 y^{2} - 4 y = 1

x^{2} + y^{2} - 5 x = 20 - 2 y

(x^{2} + 14 x 9) + (y^{2} + 12 y + 36) = 36 + 49 + 36

x^{2} + y^{2} - 10 x + 7 y + 30 = 0

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

What is 3x^2+3y^2-30x-6y+75=0 ?
The solution to 3x^2+3y^2-30x-6y+75=0 is Circle with (a,b)=(5,1),r=1