Matematika

Pertanyaan

1. Tentukan akar-akar persamaan kuadrat berikut :
a. x2 – 5x – 24 = 0 b. 9x2 – 12x + 4 = 0 c. x2 – 4x + 1 = 0

tolong yah thankyou :))

1 Jawaban

  • Persamaan Kuadrat
    Kelas X

    a. x² - 5x - 24 = 0
    x² + 3x - 8x - 24 = 0
    x(x + 3) - 8(x + 3) = 0
    (x + 3)(x - 8) = 0
    x = -3 / x = 8

    b. 9x² - 12x + 4 = 0
    (3x - 2)² = 0
    3x - 2 = 0
    3x = 2
    x = ⅔

    c. x² - 4x + 1 = 0
    x² - 4x = -1
    x² - 4x + 4 = -1 + 4
    (x - 2)² = 3
    x - 2 = ±√3
    x = ±√3 + 2

    x = √3 + 2 atau x = -√3 + 2

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