Matematika

Pertanyaan

Pakai cara ya makasi
Pakai cara ya makasi

1 Jawaban

  • 2x^2 -3x - 5 = 0
    a + b = - -3/2 = 3/2
    a.b = -5/2
    misal PK baru akar2nya p dan q dengan p = (2 + 1/a) dan q. = (2+1/b)
    p + q = (2 + 1/a)+(2 + 1/b)
    = 4 + 1/a + 1/b
    = 4 + { (a+b)/(ab)
    = 4 + { (3/2)/(-5/2)
    = 4 + -3/5
    = 4 - 3/5
    = 17/5
    p.q = (2+1/a)×(2+1/b)
    = 4 + 2/b + 2/a + 1/ab
    = 4 + 2(a+b)/(ab) + 1/ab
    = 4 + 2{ (3/2)/(-5/2)+ 1/(-5/2)
    = 4 -6/5 - 2/5
    = 4 -8/5
    = 12/5
    Maka PK dimaksud adalah
    x^2 -17/5x + 12/5 = 0
    5x^2 -17x +12 = 0