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21 May, 13:53

The equation of a circle is x^2+y^2+6x-2y-15=0. find the center and radius of the circle.

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  1. 21 May, 15:25
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    (-3, 1), 5

    Step-by-step explanation:

    x² + y² + 6x - 2y - 15 = 0

    Rearrange:

    x² + 6x + y² - 2y = 15

    Complete the square:

    x² + 6x + 9 + y² - 2y + 1 = 15 + 9 + 1

    (x + 3) ² + (y - 1) ² = 25

    Therefore, the center is (-3, 1) and the radius is 5.
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