Matematika

Pertanyaan

himpunan penyelesaian dari |3x-1|=2/3

2 Jawaban

  • 3x - 1 = 2/3
    3x = 2/3 + 1
    3x = 3/3
    x = 3/3 ÷ 3
    x = 1/3
  • | 3x - 1| =[tex] \frac{2}{3} [/tex]

    3 x | 3x - 1 | = 2
    |3 x |3x-1|| = 2
    |9x -3 |  = 2
    [tex] |9x-3|^{2} = 2^{2} [/tex]
    81x²-54x+9 = 4
    81x² + 54x + 5 = 0
    [tex] \frac{(81x + 45 )(81x + 5) }{81} [/tex] = 0
    [tex] \frac{(9x+5)(81x+5)}{9} = 0[/tex]
    [tex] \frac{9x+5}{9} = 0[/tex]
    9x+5 = 0
    9x = -5
    x = [tex] \frac{-5}{9} [/tex]

    [tex] \frac{81x+5}{9} = 0[/tex]
    81x + 5 = 0
    81x = -5
    x = [tex] \frac{-5}{81} [/tex]

    maaf kalau salah

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