6 times a number is 16 less than the square of that number. Find the negative solution

Question

6 times a number is 16 less than the square of that number. Find the negative
solution

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Faith 1 week 2021-09-15T18:52:07+00:00 1 Answer 0

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    2021-09-15T18:53:34+00:00

    Answer:

    The negative solution is -2

    Step-by-step explanation:

    Let the number be x

    From the question we can deduce the equation below;

    x^{2}- 16 = 6x

    Solving the quadratic equation by factorization;

    x^{2}- 16 - 6x = 0

    x^{2} - 6x - 16 = 0

    the factors of the quadratic equation are -8 and 2

    x^{2} - 8x + 2x - 16 = 0

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

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

    Therefore, x = -2 or 8

    The negative solution is -2.

    PROOF;

    x^{2}- 16 = 6x

    [-2]^2 – 16 = 6(-2)

    4 – 16 = -12

    -12 = -12

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45:7+7-4:2-5:5*4+35:2 =? ( )