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16 June, 08:31

X+4/4=x/x-2

A:{-4,2}

B:{-2,4}

C:{}

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Answers (1)
  1. 16 June, 08:55
    0
    The correct answer is B. {-2,4}

    Step-by-step explanation:

    Let's solve for x, this way:

    x + 4/4 = x / x - 2

    (x + 4) * ((x - 2) = 4 * x

    x² - 2x + 4x - 8 = 4x

    x² - 2x + 4x - 8 - 4x = 0

    x² - 2x - 8 = 0

    (x - 4) * (x + 2) = 0

    x - 4 = 0

    x + 2 = 0

    x₁ = 4

    x₂ = - 2

    The correct answer is B. {-2,4}
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