Matematika

Pertanyaan

Persamaan kuadrat 2x² + ax - 6 = 0 mempunyai akar x1 dan x2. Jika x1= 3/2, nilai x1 + x2 = ...

1 Jawaban

  • substitusi x1 = 3/2
    2(3/2)² + a(3/2) - 6 = 0
    2(9/4) + 3a/2 = 6
    18/4 + 6a/4 = 6
    (18+6a)/4 = 6
    18 + 6a = 6 × 4
    6a = 24 - 18
    6a = 6
    a = 1
    persamaan kuadrat
    2x² + 1x - 6 = 0
    x1 + x2 = -b/a = -1/2

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