Matematika

Pertanyaan

bila akar akar persamaan y^2-2y+a =0 ternyata 3 kali lebih besr dari akar persamaan x^2-bx-32=0. maka a+b=.......




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1 Jawaban

  • y1 + y2
    = -b/a
    = -(-2)/1
    = 2

    x1 + x2
    = -b/a
    = -(-b)/1
    = b

    y1 + y2 = 3(x1 + x2)
    2 = 3(b)
    b = 2/3

    y1*y2
    = c/a
    = a/1

    x1*x2
    = c/a
    = -32/1
    = -32

    y1*y2 = 3(x1*x2)
    a = 3(-32) = -96


    a + b
    = -96 + 3/2
    = -192+3/2
    = -189/2

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