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1 February, 02:11

For each equation, find k and the value of any missing solutions:

x^2 - kx - 16 = 0 where - 2 is one solution of the equation

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  1. 1 February, 05:50
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    answer: k = 6, x ∈ {-2, 8}

    explanation:

    to solve for k: plug - 2 in for x and solve.

    (-2) ^2 - k (-2) - 16 = 0

    4 + 2k - 16 = 0

    -12 + 2k = 0

    2k = 12

    k = 6

    to find any missing solutions: plug k back in

    x^2 - 6x - 16 = 0

    factor:

    (x - 8) (x + 2) = 0

    x ∈ {-2, 8}
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