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8 October, 09:04

When 24 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

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Answers (2)
  1. 8 October, 09:15
    0
    Answer:-3

    Step-by-step explanation:

    let the number be X

    X^2-24=5x

    X^2-5X-24=0

    X^2-8x+3x-24=0

    X (x-8) + 3 (x-8) = 0

    (x+3) (x-8) = 0

    X+3=0 or x-8=0

    X=-3 or x=8

    Therefore the negative value is - 3
  2. 8 October, 09:22
    0
    Step-by-step explanation:

    x² - 24 = 5x

    x² - 5x - 24 = 0

    x² - 8x + 3x - 24

    Factorize

    x (x - 8) + 3 (x - 8)

    (x + 3) (x - 8)

    x + 3 = 0 or x - 8 = 0

    x = - 3 or x = 8

    The negative solution is:

    x = - 3
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