Matematika

Pertanyaan

himpunan penyelesaian dari
1. | 2x |+5=13
2. -3 | x-4 |+5=14
3. | x-3 |+| 2x-8|=5
4. | 7x |=4-x

1 Jawaban

  • Nilai Mutlak

    1. |2x| + 5 = 13
    | 2x | = 13 - 5 = 8
    2x = 8 atau 2x = - 8
    x = 4 atau x = -4

    2. -3 |x - 4|+ 5 = 14
    - 3| x  - 4 | = 14- 5 = 9
    | x- 4 | =- 3 {false]

    3. |x - 3| + |2x - 8| =5
    x- 3 + 2x - 8 = 5
    3x - 11 = 5
    3x = 16
    x = 16/3
    atau
    -(x-3) - (2x- 8) = 5
    -x + 3 - 2x + 8 = 5
    -3x + 11 = 5
    - 3x = 5-11= - 6
    x = -6/-3
    x = 2
    HP (2, 16/3)

    4. |7x |=4x
    7x = 4x
    x = 0

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