Matematika

Pertanyaan

tentukan nilai x dari:(x-1)²=5

2 Jawaban

  • (x - 1)^2 = 5
    x - 1 = V5
    x = 1 +- V5
    x1 = 1 + V5
    x2 = 1 - V5
  • (x-1)^2 = 5
    X^2 - 2X + 1 = 5
    X^2 -2X -4 = 0
    A = 1, B = -2, C = -4
    -B plusminus√B^2 -4AC : 2A
    2 plusminus √4 + 16 : 2
    2 plusminus √20 : 2
    2 plusminus 2√5 : 2

    X1= 2 + 2√5 : 2
    = 1 + √5

    X2= 2 - 2√5 : 2
    = 1 - √5

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