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What is the missing constant term in the perfect square that starts with x^2+6xx 2 + 6xx, start superscript, 2, end superscript, plus, 6, x?

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  1. 1 May, 18:22
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    For this case we have the following polynomial:

    x ^ 2 + 6x

    The missing value to complete the square is given by:

    x ^ 2 + 6x + (6/2) ^ 2

    Rewriting we have:

    x ^ 2 + 6x + (3) ^ 2

    x ^ 2 + 6x + 9

    Then, completing the square we have:

    (x + 3) ^ 2

    Answer:

    the missing constant term in the perfect square is:

    9
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