Matematika

Pertanyaan

jawablah lampiran ini
jawablah lampiran ini

1 Jawaban

  • Persamaan Kuadrat

    1][
    x² + 5x + 4 = 0
    (x + 1)(x + 4) = 0
    x = -1 atau x = -4 ✔

    2][
    2x² - 7x + 3 = 0
    a = 2
    b = -7
    c = 3

    x1.2 = (-b ± √(b² - 4ac))/(2a)
    x1.2 = (7 ± √(49 - 24))/4
    x1.2 = (7 ± 5)/4
    x1 = (7 + 5)/4 = 3 ✔
    x2 = (7 - 5)/4 = 1/2 ✔

    3][
    2x² + 5x + 3 = 0
    Cek nilai D nya
    D = b² - 4ac = 25 - 24 = 1
    D > 0
    akar2 real berlainan ✔

    4][
    2x² - 7x + 3 = 0
    (2x - 1)(x - 3) = 0
    x1 = 1/2 atau x2 = 3
    ••
    x1/x2 + x2/x1 = 1/6 + 6 = 6 1/6 = 37/6 ✔

    5][
    Persamaan Kuadrat dg akar2 2 dan -5 :
    (x - 2)(x + 5) = 0
    x² + 3x - 10 = 0 ✔

    6][
    PK lama : x² + 4x + 3 = 0

    PK baru dg akar2 (x1 - 1) dan (x2 - 1) :
    (x + 1)² + 4(x + 1) + 3 = 0
    x² + 6x + 8 = 0 ✔