Matematika

Pertanyaan

1. lx-1l=6
2. l4x+3l=7
3. lx+1l=l2x-3l
4. l2x+5l=lx+2l

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1 Jawaban

  • Materi : Persamaan Mutlak

    Pembahasan :
    |x - 1| = 6

    x - 1 = 6
    x = 6 + 1
    x = 7

    x - 1 = -6
    x = -6 + 1
    x = -5

    Hp : {-5 , 7}

    ————————————————
    |4x + 3| = 7

    4x + 3 = 7
    4x = 7 - 3
    4x = 4
    x = 1

    4x + 3 = -7
    4x = -7 - 3
    4x = -10
    x = -5/2

    Hp : {-5/2 , 1}

    ————————————————
    |x + 1| = |2x - 3|

    x + 1 = 2x - 3
    2x - x = 1 + 3
    x = 4

    x + 1 = -(2x - 3)
    x + 1 = -2x + 3
    2x + x = 3 - 1
    3x = 2
    x = 2/3

    Hp : {2/3 , 4}

    ————————————————
    |2x + 5| = |x + 2|

    2x + 5 = x + 2
    2x - x = 2- 5
    x = -3

    2x + 5 = -(x + 2)
    2x + 5 = -x - 2
    2x + x = -2 - 5
    3x = -7
    x = -7/3

    Hp : {-3 , -7/3}

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