ctellis03 ctellis03

11-06-2021
Mathematics

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Find the center and the radius of the circle with the equation:
x2 - 2x + y2 + 4y + 1 = 0

Find the center and the radius of the circle with the equation x2 2x y2 4y 1 0 class=

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LammettHash LammettHash

11-06-2021

Complete the square:

x ^2 - 2x + y ^2 + 4y + 1 = 0

(x - 1)^2 + (y + 2)^2 + 1 = 1 + 4

(x - 1)^2 + (y + 2)^2 = 4 = 2^2

Hence the center is (1, -2) and the radius is 2. (D)

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