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Today, 01:07

By completing the square in x and y, find the center and radius of the circle.

X^2+y^2+6x-4y=23

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  1. Today, 04:44
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    Center (-3, 2) radius = 6

    Step-by-step explanation:

    x^2 + y^2 + 6x - 4y = 23

    x^2 + 6x + y^2 - 4y = 23

    x^2 + 6x + (9) + y^2 - 4y = 23 + (9)

    (x + 3) ^2 + y^2 - 4y = 23 + (9)

    (x + 3) ^2 + y^2 - 4y + (4) = 23 + (9) + (4)

    (x + 3) ^2 + (y - 2) ^2 = 23 + (9) + (4)

    (x + 3) ^2 + (y - 2) ^2 = 36

    (x + 3) ^2 + (y - 2) ^2 = 6^2

    Center is at (-3, 2)

    ... mysticchacha dot com

    Radius = 6

    From using formula (x - h) ^2 + (y - k) ^2 = r^2

    where (h, k) = center and r = radius
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