Matematika

Pertanyaan

Diketahui bentuk al jabar berikut: (X-1) (X+1) (X+2)=ax3+bx2-cx-d
jika ax+by=4
ex=6,e=c+d
tentukan nilai y?

1 Jawaban

  • (x - 1) (x + 1) (x + 2)
    = (x² - 1) (x + 2)
    = x³ + 2x² - x - 2  =  ax³ + bx² - cx - d
    berarti
    a = 1
    b = 2
    c = 1
    d = 2

    diketahui 
    ax + by = 4
    1x + 2y = 4 ......................(1)

    e = c + d
    e = 1 + 2
    e = 3

    ex = 6
    3x = 6
    x = 6/3
    x = 2

    subtitusikan x = 2 ke pers. (1)
    1x + 2y = 4
    1(2) + 2y = 4
    2y = 4 - 2
    2y = 2
    y = 2/2
    y = 1

    jadi nilai y = 1

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