Matematika

Pertanyaan

PERSAMAAN NILAI MUTLAK LINEAR SATU VARIABEL
1. [×-2] + [×+4] = 7
2.[×+2] + [3×] + [2×-5] = 8

1 Jawaban

  • Mapel : Matematika
    Kelas : X SMA
    Materi : Persamaan Mutlak

    Pembahasan :
    |x - 2| + |x + 4| = 7

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

    x - 2 + x + 4 = -7
    2x + 2 = -7
    2x = -9
    x = -9/2

    Hp : {-9/2 , 5/2}

    ————————————————
    |x + 2| + |3x| + |2x - 5| = 8

    x + 2 + 3x + 2x - 5 = 8
    6x - 3 = 8
    6x = 11
    x = 11/6

    x + 2 + 3x + 2x - 5 = -8
    6x - 3 = -8
    6x = -5
    x = -5/6

    Hp : {-5/6 , 11/6}

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