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21 September, 14:58

The equation x2 + y2 - 2x + 2y - 1 = 0 is the general form of the equation of a circle. What is the standard form of the equation?

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  1. 21 September, 18:12
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    X^2 + y^2 - 2x + 2y - 1 = 0

    (x^2 - 2x) + (y^2 + 2y) - 1 = 0

    (x^2 - 2x + 1) + (y^2 + 2y + 1) - 1 - 1 - 1 = 0

    (x - 1) ^2 + (y + 1) ^2 - 3 = 0

    (x - 1) ^2 + (y + 1) ^2 = 3
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