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18 March, 23:24

What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?

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  1. 18 March, 23:51
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    k = 25

    Step-by-step explanation:

    (2x - sqrt (k)) ^2 Expand this as a binomial

    4x^2 - 4x*sqrt (k) + k The middle term must be - 20x Solve for k so it is

    -4xsqrt (k) = - 20x Divide by - 4x

    sqrt (k) = - 20x/-4x Do the division

    sqrt (k) = 5 Square both sides

    k = 25
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