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March 30, 2017

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what value of k makes the given expression a perfect square?M square -8m+k

  • mathematics - ,

    m^2 - 8 m + k

    (m-x)(m-x) = m^2 -2 x m + x^2
    so
    2 x = -8
    x = -4
    x^2 = 16 = k
    so
    m^2 - 8 m + 16

    in general to complete the square
    1 x^2 + b x + c
    if that is to be a perfect square
    c = (b/2)^2

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