Matematika

Pertanyaan

|X-1|²-|X-1|-6=0 help me

1 Jawaban

  • |x-1| = {x-1 untuk x >= 1, -x+1 untuk x < 1
    (x-1)^2 - (x-1) = 6
    x^2 - 2x + 1 - x + 1 - 6 = 0
    x^2 - 3x - 4 = 0
    (x-4)(x+1) = 0
    x-4 = 0
    x = 4 (M)
    x+1 = 0
    x = -1 (TM)

    (-x+1)^2 - (-x+1) = 6
    x^2 - 2x + 1 + x - 1 - 6 = 0
    x^2 - x - 6 = 0
    (x-3)(x+2) = 0
    x-3 = 0
    x = 3 (TM)
    x+2 = 0
    x = -2 (M)

    HP = {-2, 4}

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