Matematika

Pertanyaan

guys please help me answer my homework
guys please help me answer my homework

1 Jawaban

  • Mapel : Matematika
    Kelas : X SMA
    Bab : Vektor

    Pembahasan :
    2.

    ab = |a| |b| Cos 60°
    [2 1 -3] [-1 x -2] = √14 √(x² + 5) (1/2)
    -2 + x + 6 = √(14x² + 70) (1/2)
    2(x + 4) = √(14x² + 70)
    2x + 8 = √(14x² + 70)
    (2x + 8)² = 14x² + 70
    4x² + 32x + 64 = 14x² + 70
    10x² - 32x + 6 = 0
    5x² - 16x + 3 = 0
    (5x - 1)(x - 3) = 0
    x = 1/5
    x = 3 —» Bulat

    Jawaban : D

    ————————————————
    3.

    ab = |a| |b| Cos 60°
    [x 1 -3] [-1 3 -2] = √(x² + 10) √14 (1/2)
    -x + 3 + 6 = √(14x² + 140) (1/2)
    2(-x + 9) = √(14x² + 140)
    -2x + 18 = √(14x² + 140)
    (-2x + 18)² = 14x² + 140
    4x² - 72x + 324 = 14x² + 140
    10x² + 72x - 184 = 0
    5x² + 36x - 92 = 0
    (5x + 46)(x - 2) = 0
    x = -46/5
    x = 2

    Jawaban : E