Matematika

Pertanyaan

persamaan kuadrat 2X²+X+6=0 mempunyai akar-akar a dan B. nilai 1/a + 1/B=

2 Jawaban

  • 2x^2 + x + 6 = 0
    a= 2,b = 1, c = 6

    A + B = -b/a = -1/2
    A.B = c/a = 6/2 = 3

    1/A+1/B = B/AB + A/BA = ( A+B)/AB = -1/2/3 = -1/6
  • 2x²+x+6 = (2x-3)(x-2)
    • 2x-3 =0. • x-2 =0
    x = 3. x = 2

    a = 3. b = 2



    jadi nilai 1/a + 1/b = 1/3 + 1/2 = 2+3/6 = 5/6


    semoga membantu

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