SBMPTN

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Pake cara ya
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Pake cara ya ~~~~~~~~~~~~~~~

1 Jawaban

  • x^2 + 3x + 1 = 0
    x1 + x2 = -b/a = -3/1 = -3
    x1.x2 = c/a = 1/1 = 1
    x2/x1 + x1/x2 = (x2^2 + x1^2)/(x1.x2)
    = ((x1 + x2)^2 - 2x1.x2)/(x2.x2)
    = ((-3)^2 - 2(1))/1
    = (9 - 2)/1
    = 7
    Misal p = (2 + x2/x1) dan q = (2 + x1/x2)
    p + q = (2 + x2/x1) + (2 + x1/x2)
    = 4 + x2/x1 + x1/x2
    = 4 + 7
    = 11
    p.q = (2 + x2/x1)(2 + x1/x2)
    = 4 + 2 x1/x2 + 2 x2/x1 + 1
    = 5 + 2(x1/x2 + x2/x1)
    = 5 + 2(7)
    = 5 + 14
    = 19
    Persamaan kuadrat baru
    x^2 - (p + q)x + pq = 0
    x^2 - 11x + 19 = 0