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28 August, 00:03

Find the center and radius of the circle whose equation is x 2 + y 2 - 6x - 2y + 4 = 0

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  1. 28 August, 00:21
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    A = 1

    b = - 6

    c = (y^2 - 2y + 4)

    x^2 - 6x + 9 - 9 + y^2 - 2y + 4

    (x - 3) ^2 - 9 + y^2 - 2y + 4

    (x - 3) ^2 - 5 + y^2 = 2y = 0

    (x - 3) ^2 + y^2 - 2y = 5

    (x - 3) ^2 - 2y = 5 - y^2

    (x - 3) ^2 = 5 - y^2 + 2y

    (x - 3) ^2 = 5 - y^2 + 2y

    x - 3 = ¥√5 - y^2 + 2y

    x = √5 - y^2 + 2y + 3, - √5 - y^2 + 2y + 3
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