Matematika

Pertanyaan

salah satu akar persamaan kuadrat ax^2+(a+1)x+(a-1)=a>0adalahx1. jika akarlainnya x2=2x1 maka konstanta a?

1 Jawaban

  • ax^2 + (a+1)x + (a-1) = 0
    A = a, B = a+1, C = a-1
    x1+x2 = -B/A
    x1 + 2x1 = -(a+1)/a
    3x1 = -(a+1)/a
    x1 = -(a+1)/3a

    x1.x2 = C/A
    x1. 2x1 = (a-1)/a
    x1 = (a-1)/2a

    x1 = x2
    -(a+1)/3a = (a-1)/2a
    -(a+1)/3 = (a-1)/2
    -2(a+1) = 3(a-1)
    -2a -2 = 3a-3
    1 = 5a
    a = 1/5

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