Matematika

Pertanyaan

1. bila x-x/y = 3 dan x=5, maka y =...??? 2. (x+y) pngkt 2 - 36 = 0 dan xy =8, maka x pngkt 2 + y pngkt 2 = ....?? 3. bila x + y = 16 maka 1/4x + 1/4y adalah..??? 4. bila 0,005 × 5.000 × 5.00.00 = 5 pngkt 3 × 10 pngkt 3×7, maka X=……?? ada yg bisa jwab??? sertakan jalan pnyelesaianya yaa... THX BEFORE :D

1 Jawaban

  • 1]x - x/y = 3 ; x = 5
    x - x/y = 3
    5 - 5/y = 3
    5/y = 5 - 3
    5/y = 2
    y = 5/2
    y = 2,5

    2](x + y)^2 - 36 = 0 ; xy = 8
    (x + y)^2 - 36 = 0
    (x + y)^2 = 36
    x + y = akar 36
    x + y = 6
    x = 6 - y
    xy = 8
    (6 - y)y = 8
    6y - y^2 = 8
    y^2 - 6y + 8 = 0
    (y - 4)(y - 2) = 0
    y - 4 = 0 atau y - 2 = 0
    y = 4 atau y = 2
    xy = 8
    x(4) = 8 atau x(2) = 8
    x = 8/4 = 2 atau x = 8/2 = 4
    (2,4) atau (4,2)

    .................x^2 + y^2
    = 2^2 + 4^2 atau = 4^2 + 2^2
    = 4 + 16.........atau = 16 + 4
    = 20...............atau = 20

    3] x + y = 16
    1/4 x + 1/4 y = 1/4(x + y)
    .......................= 1/4 × 16
    .......................= 16/4
    ........................= 4

    4]0,005 × 5.000 × 50.000 = 5^3 × 10^3 × X
    1.250.000 = 125.000X
    X = 1.250.000/125.000
    X = 10

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