What is (x+7)^2+(y-1)^2=225 ?

The solution to (x+7)^2+(y-1)^2=225 is Circle with (a,b)=(-7,1),r=15

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(x+7)^2+(y-1)^2=225

(x + 7)^{2} + (y - 1)^{2} = 225

(a, b) = (- 7, 1), r = 15

Solution steps

(x + 7)^{2} + (y - 1)^{2} = 225

Rewrite

(x + 7)^{2} + (y - 1)^{2} = 225

in the form of the standard circle equation

(x - (- 7))^{2} + (y - 1)^{2} = 1 5^{2}

Therefore the circle properties are:

(a, b) = (- 7, 1), r = 15

x^{2} + 14 x + 49 + y^{2} - 14 y + 49 = 49

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

x^{2} + 6 x + y^{2} - 2 y + 1 = 0

x^{2} + y^{2} - x - 2 y + \frac{1}{4} = 0

1000 = 200 (1 + x^{2} + y^{2})

What is (x+7)^2+(y-1)^2=225 ?
The solution to (x+7)^2+(y-1)^2=225 is Circle with (a,b)=(-7,1),r=15