Matematika

Pertanyaan

Mohon dibantuu yaa kaak atau baang:):)
Mohon dibantuu yaa kaak atau baang:):)

1 Jawaban

  • 2/x + 2/y = 7
    2 × (1/x + 1/y) = 7
    1/x + 1/y = 7/2
    y/xy + x/xy = 7/2
    (y+x)/xy = 7/2

    3,5/x - 3,5/y = 6
    3,5 × (1/x - 1/y) = 6
    1/x - 1/y = 6/3,5
    y/xy - x/xy = 60/35
    (y-x)/xy = 12/7

    1/x²-1/y² =
    y²/(x²y²) - x²/(x²y²) =
    (y²-x²)/(x²y²) =
    (y+x)(y-x)/(xy)² =
    (y+x)/xy × (y-x)/xy =
    7/2 × 12/7 = 6

    1/x²-1/y² = 6
    (1/x²-1/y²)² = 6² = 36
    Jadi, (1/x²-1/y²)² = 36 (D)