Matematika

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tolong dijawab kak pake cara!!!
melengkapkan kuadrat sempurna. 3x^2 - 5 - 2 = 0

1 Jawaban

  • Bab Persamaan Kuadrat
    Matematika SMP Kelas VIII

    3x² - 5x - 2 = 0
    3x²/3  - 5x/3 - 2/3 = 0
    x² - 5x/3 = 2/3
    x² - 5x/3 + (5/(2 . 3))² = 2/3 + (5/(2 . 3))² 
    (x - 5/6)² = (2 x 12)/(3 x 12) + 25/36
    (x - 5/6)² = 24/36 + 25/36
    x - 5/6 = √(49/36)
    x = 5/6 +- 7/6

    x1 = 5/6 + 7/6
         = 12/6
         = 2

    x2 = 5/6 - 7/6
         = -2/6
         = -1/3

    HP = { -1/3, 2 }

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