Matematika

Pertanyaan

jika xy=4,yz=9,dan xz=16, tentukan nilai xyz

2 Jawaban

  • xy = 4 , yz = 9 , xz = 16
    2×2 = 4 , 3×3 = 9 , 4×4 = 16
    jadi nilai xyz adalah 2×3×4 = 24

    semoga benar
  • xy = 4
    yz = 9 => y = 9/z
    xz = 16 => x = 16/z

    subtitusi y = 9/z dan x = 16/z ke xy = 4
    9/z . 16/z = 4
    144/z^2 =4
    144/4 = z^2
    36 = z^2
    z = 6
    y = 9/6 = 3/2
    x = 16/6 = 8/3
    jadi nilai xyz = 6 . 3/2 . 8/3 = 144/6 = 24

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