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4 February, 23:41

What is the solution to the rational equation x over x squared minus 9 minus 1 over x plus 3 equals 1 over 4x minus 12?

x = - 9 over 7

x = 15

x = 15 over 7

x = 9

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Answers (1)
  1. 4 February, 23:59
    0
    X / (x² - 9) - 1 / (x + 3) = 1 / (4 x - 12)

    Restrictions : x ≠ + / - 3

    x / (x - 3) (x + 3) - 1 / (x + 3) = 1 / 4 (x - 3) / · 4 (x + 3) (x - 3)

    4 x - 4 · (x - 3) = x + 3

    4 x - 4 x + 12 = x + 3

    x = 12 - 3

    Answer: D) x = 9
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