What is 3(x-4)^2+3y^2=54 ?

The solution to 3(x-4)^2+3y^2=54 is Circle with (a,b)=(4,0),r=3sqrt(2)

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3(x-4)^2+3y^2=54

3 (x - 4)^{2} + 3 y^{2} = 54

(a, b) = (4, 0), r = 32

Solution steps

3 (x - 4)^{2} + 3 y^{2} = 54

Rewrite

3 (x - 4)^{2} + 3 y^{2} = 54

in the form of the standard circle equation

(x - 4)^{2} + (y - 0)^{2} = (32)^{2}

Therefore the circle properties are:

(a, b) = (4, 0), r = 32

x^{2} + y^{2} = 14

y^{2} + 4 x - 20 - 2 y = - x^{2}

(x - 3)^{2} + (y - 4)^{2} = 4

x^{2} + y^{2} + 4 x - 10 y + 13 = 0

x^{2} + y^{2} - 2 x - 6 y - 6 = 0

What is 3(x-4)^2+3y^2=54 ?
The solution to 3(x-4)^2+3y^2=54 is Circle with (a,b)=(4,0),r=3sqrt(2)