Matematika

Pertanyaan

3/x+2/x-1=4/x-1
tolong bantu saya tidak mengerti

2 Jawaban

  • 3/x + 2/(x - 1) = 4/(x - 1)

    3(x - 1) + 2(x) ... 4(x)
    ------------------ = ----------
    ......x(x - 1)............x(x- 1)

    ....3x - 3 + 2x - 4x
    = ----------------------
    .........x^2 - x
    .....x - 3
    = ----------
    ....x^2 - x
  •   3          2           4
    ----- + ------- = --------
      x       x - 1      x - 1  

      3         2           4
    ----- + ------- - -------- = 0
      x       x - 1     x - 1

       3(x - 1)            2x             4x
     ------------- + ----------- - ----------- = 0
       x(x - 1)        x(x - 1)     x(x - 1)

    3x - 3 + 2x - 4x = 0

    x - 3 = 0 ===> x = 3

    semoga jelas dan membantu ya

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