What is 9x^2-6x+9+9y^2+24y+144=172 ?

The solution to 9x^2-6x+9+9y^2+24y+144=172 is Circle with (a,b)=(1/3 ,-4/3),r=2

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9x^2-6x+9+9y^2+24y+144=172

9 x^{2} - 6 x + 9 + 9 y^{2} + 24 y + 144 = 172

(a, b) = (\frac{1}{3}, - \frac{4}{3}), r = 2

Solution steps

9 x^{2} - 6 x + 9 + 9 y^{2} + 24 y + 144 = 172

Rewrite

9 x^{2} - 6 x + 9 + 9 y^{2} + 24 y + 144 = 172

in the form of the standard circle equation

(x - \frac{1}{3})^{2} + (y - (- \frac{4}{3}))^{2} = 2^{2}

Therefore the circle properties are:

(a, b) = (\frac{1}{3}, - \frac{4}{3}), r = 2

x^{2} + (y - 2)^{2} = 16

x^{2} + y^{2} + 14 x - 2 y + 25 = 0

(x - \frac{1}{2})^{2} + (y - \frac{3}{2})^{2} = 1

(x + 3)^{2} + (y - 1)^{2} = 36

x^{2} - 25 - 6 x + 9 + y^{2} = 0

What is 9x^2-6x+9+9y^2+24y+144=172 ?
The solution to 9x^2-6x+9+9y^2+24y+144=172 is Circle with (a,b)=(1/3 ,-4/3),r=2