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Pertanyaan

Jika xy= 2 dan x4y5= 64, maka x+y =

2 Jawaban

  • xy = 2
    x = 2/y
    x^4y^5 = 64
    (2/y)^4 y^5 = 64
    (2^4/y^4) y^5 = 64
    (16 / y^4) y^5 = 64
    16 (y^5/y^4) = 64
    y^(5-4) = 64/16
    y = 4
    x = 2/y = 2/4 = 1/2
    x + y = 1/2 + 4 = 9/2 = 4½
  • x^4.y^5 = 64
    x^4.y^4.y = 64
    (xy)^4.y = 64
    (2)^4 y = 64
    16y = 64
    y = 64/16 = 4

    xy = 2
    x.4 = 2
    x = 2/4 = 1/2

    x + y = 4 + 1/2 = 9/2 = 4 1/2 = 4,5

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