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28 January, 00:12

What equation results from completing the square and then factoring? x2+4x=7

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  1. 28 January, 00:41
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    (x+2) ^2 = 11

    Step-by-step explanation:

    x^2+4x=7

    To complete the square, take the coefficient of the x term, 4

    Then divide by 2, 4/2 = 2

    Then square it 2^2 = 4

    Add that to both sides

    x^2 + 4x+4 = 7+4

    The left hand side can be rewritten as (x+b/2) ^2 where b is the coefficient of the x term

    (x+2) ^2 = 11
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