Matematika

Pertanyaan

Tentukan nilai mutlak
1. |4+3x1|=1
2. 5|2x-1|+4=11
3. |5x+3|=|3x+5|

1 Jawaban

  • Nomor 1
    |4 + 3x| = 1

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

    4 + 3x = -1
    3x = -1 - 4
    3x = -5
    x = - 5/3

    HP {-1 , -5/3}

    Nomor 2
    5|2x - 1| + 4 = 11
    5|2x - 1| = 11 - 4
    |2x - 1| = 7/5

    2x - 1 = 7/5
    2x = 7/5 + 1
    2x = 12/5
    x = 12/(5×2)
    x = 6/5

    2x - 1 = -7/5
    2x = -7/5 + 1
    2x = - 2/5
    x = -2 /(5×2)
    x = - 1/5

    HP {6/5 , -1/5}

    Nomor 3
    |5x + 3| = |3x + 5|

    5x + 3 = 3x + 5
    5x - 3x = 5 - 3
    2x = 2
    x = 1

    5x + 3 = -(3x + 5)
    5x + 3 = -3x - 5
    5x + 3x = -5 - 3
    8x = -8
    x = -1

    HP {1 , -1}

    Semoga berguna +_+

Pertanyaan Lainnya