Matematika

Pertanyaan

persamaan kuadrat 2x ^2 +x+6=0. mempunyai akar x1 dan x2. nilai x1^2 + x2^2 =

1 Jawaban

  • 2x^2 +x +6 = 0
    x1 + x2 = -1/2
    x1.x2 = 6/2 =3
    (x1 + x2)^2 = x1^2 + x2^2 +2x1.x2
    x1^2 + x2^2 = (x1 + x2)^2-2x1.x2
    = (-1/2)^2 - 2(3)
    = 1/4 -6
    = -5 3/4

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