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20 January, 16:28

What is the center and radious for the cricle with equation 2x^2-8x+2y^2+12y+14=0

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  1. 20 January, 17:25
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    Step-by-step explanation:

    2x² - 8x + 2y² + 12y + 14 = 0

    x² - 4x + y² + 6y + 7 = 0

    Complete the squares.

    x² - 4x + 4 + y² + 6y + 9 + 7 = 4 + 9

    (x - 2) ² + (y + 3) ² + 7 = 13

    (x - 2) ² + (y + 3) ² = 6

    The center is (2, - 3), and the radius is √6.
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