Matematika

Pertanyaan

Nomer 5 gimana ya caranya sama jawabannya
Nomer 5 gimana ya caranya sama jawabannya

1 Jawaban

  • eliminasi
    4^x+1 + 2^y = 20
    2^x-1 - 2^y = -3
    ----------------------- +
    4^x+1 + 2^x-1 = 17
    4^x.4 + 2^x.2^-1 = 17
    4.4^x + (½).2^x = 17 kalikan 2
    8.4^x + 2^x = 34
    8.(2^x)² + 2^x - 34 = 0
    misalkan 2^x = p
    8p² + p - 34 = 0
    (8p + 17)(p - 2) = 0
    p = -17/8 (tidak memenuhi)
    p = 2
    2^x = 2
    2^x = 2¹
    x = 1
    2^(1-1) - 2^y = -3
    2^0 - 2^y = -3
    1 - 2^y = -3
    1 + 3 = 2^y
    4 = 2^y
    2² = 2^y
    y = 2
    jadi x = 1 dan y = 2
    ^ tanda pangkat