Matematika

Pertanyaan

No 10 tolong yahhh..
No 10 tolong yahhh..

1 Jawaban

  • 10.  persamaan kuadrat
    x² - 3x - 4 = 0
    (x - 4)( x + 1) = 0
    x = 4 atau x = -1
    misal
    x₁ = 4  dan x₂  = - 1

    p = x₁/x₂  - 1 = (4/-1) - 1 = - 4 - 1 = -5
    q = x₂/x₁ - 1 = (-1/4) - 1 = -1/4 - 1 = - 5/4
    PK baru = x² -(p+q) x + (p q)= 0
    p+q = -5 - 5/4 = -25/4
    p q = -5(-5/4) = 25/4

    Pk baru  x² -(25/4)x + (25/4)= 0 ....kalikan 4
    4x² - 25x + 25= 0