Matematika

Pertanyaan

Pnyelesaian nilai mutlak ini brapa ya .? . tentukan nilai x yang memenuhi :
A. 2 | -2x - 2 | - 3 = 12
B. ⅔ | 2x + 1 | = 4

1 Jawaban

  • A. 2 |-2x - 2| - 3 = 12
    2 |-2x - 2| - 3 + 3 = 12 + 3
    2 |-2x - 2| = 15
    1/2 × 2 |-2x - 2| = 1/2 × 15
    |-2x - 2| = 15/2

    -2x - 2 = 15/2 V -2x - 2 = -15/2
    -2x = 15/2 + 2 -2x = -15/2 + 2
    -2x = 19/2 -2x = -11/2
    x = 19/2 × -1/2 x = -11/2 × -1/2
    x = - 19/4 x = 11/4
    HP = {-19/4 V 11/4}

    B. 2/3 |2x + 1| = 4
    3/2 × 2/3 |2x + 1| = 3/2 × 4

    |2x + 1| = 6
    2x + 1 = 6 V 2x + 1 = -6
    2x = 5 2x = -7
    x = 5/2 x = -7/2
    HP = {5/2 V -7/2}

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