Matematika

Pertanyaan

5.|X|+|X+3|=5
6.|X-2|+|X-4|=7
7.|3X+1|+|2X-3|=5
8.|X+4|+|3X-2|=6
9.|X-3|+|7-2X|=6
10.|X+2|+|3X|+|2X-5|=8

1 Jawaban

  • 5.) |X|+|X+3|=5
    |2x+3| = |5|
    (2x+3)² = 5²
    4x² + 12x + 9 = 25
    4x² + 12x - 16 = 0
    (2x-2)(2x+8) = 0
    # 2x-2 = 0
    2x = 2
    x = 1
    # 2x+8 = 0
    2x = -8
    x = -4
    HP = {-4,2}

    6.) |X-2|+|X-4|=7
    |2x+6| = |7|
    (2x+6)² = (7)²
    4x² + 24x + 36 = 49
    4x² + 24x - 13 = 0
    (2x-1)(2x+13) = 0
    #2x-1 = 0
    x = 1/2
    #2x+13 = 0
    x = -13/2

    maaf kalau salah

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