*need asap*

the equation x^2 + y^2 - 2x + 7y + 1 = 0
can be rewritten as which of the following equations?

a. (x - 1)^2 + (y - 7/2)^2 = (7/2)^2
b. (x + 1)^2 + (y + 7/2)^2 = (7/2)^2
c. (x + 1)^2 + (y + 7)^2 = 7^2
d. (x - 1)^2 + (y - 7)^2 = 7^2

X^2 + y^2 - 2x + 7y + 1 = 0

(x^2 - 2x) + (y^2 + 7y) + 1 = 0

(x^2 - 2x + 1) + (y^2 + 7y) + 1 = 0+1

(x^2 - 2x + 1) + (y^2 + 7y + 49/4) + 1 = 0+1+49/4

(x - 1)^2 + (y + 7/2)^2 + 1 = 0+1+49/4

(x - 1)^2 + (y + 7/2)^2 + 1-1 = 0+1+49/4-1

(x - 1)^2 + (y + 7/2)^2 = 49/4

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

The final answer is choice B