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6 March, 16:03

A circle is defined by the equation: x^2 + y^2 - x - 2y - 11/4 = 0. Determine the coordinates for the center of the circle and the length of the radius.

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  1. 6 March, 18:05
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    x^2 + y^2 - x - 2y - 11/4 = 0

    x^2 - x + y^2 - 2y = 11/4

    Using completing the square method:

    x^2 - x + 1/4 + y^2 - 2y + 1 = 11/4 + 1 + 1/4

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

    coordinates: (1/2, 1)

    radius: sqrt (4)
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