Matematika

Pertanyaan

3x²-3x-8=0 Selesaikan persamaan kuadrat berikut dengan melengkapi kuadrat sempurna

1 Jawaban

  • 3x^2 - 3x = 8
    x^2 - x = 8/3
    x^2 - x + (-1/2)^2 = 8/3 + (-1/2)^2
    (x - 1/2)^2 = 35/12
    x - 1/2 = +_ √(35/12)
    x = 1/2 +_ (1/2)√(35/3)
    x = 1/2 +_ (1/2)(1/3)√105
    x = 1/2 +_ (1/6)√105
    didapat
    x = (1/6)(3 + √105) atau x = (1/6)(3 - √105)

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