Matematika

Pertanyaan

Hp dari y=x2+2x+1 dan y-x=3 adalah

2 Jawaban

  • y-x = 3
    y = x+3

    y = x^2+2x+1
    x+3 = x^2+2x+1
    x^2+2x-x+1-3 = 0
    x^2-x-2 = 0
    (x-2)(x+1) = 0

    x1 = 2
    x2 = -1

    HP { 2,-1 }
  • y = x² + 2x + 1
    y - x = 3 ---> y = x + 3

    y = y
    x² + 2x + 1 = x + 3
    x² + 2x - x + 1 - 3 = 0
    x² + x - 2 = 0
    (x + 2)(x - 1) = 0
    x = -2 atau x = 1

    x = -2
    y = x + 3 = -2 + 3 = 1

    x = 1
    y = 1 + 3 = 4

    HP = {(-2,1) , (1,4)}

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