Matematika

Pertanyaan

jika (ax+b)(3x-4)=cx2+7x-20 tentukan a+b+c

2 Jawaban

  • jawab

    (ax + b)(3x - 4)= cx^2 +7x - 20

    ax(3x -4) + b(3x - 4) =  cx^2 + 7x - 20

    3a x^2 - 4ax + 3b x - 4b = cx^2 +7x - 20
    (3a) x^2 + (-4a+3b) x + (-4b)=  (c) x^2 + (7) x + (-20)
    koefisien kiri = koefisien kanan

    3a = c
    -4b = -20
    b = 5

    -4a + 3b = 7
    -4a + 15 = 7
    -4a = - 8
    a = 2

    c = a = 2

    a+ b + c = 2 + 5 + 2 = 9

  • jawab :

    (ax + b)(3x - 4) = cx² + 7x -20

    (3a)x² - (4a + 3b) x - (4b) = (c)x² + (7) - (20)

    (koefisien x dihilangkan)

    -4b = -20
    b = 5

    -4a + 3b = 7
    -4a + 3(5) = 7
    -4a = 7-15
    -4a = -8
    a = 2

    3a = c
    3(2) = c
    6 = c

    jadi,
    a + b + c
    = 2 + 5 + 6
    = 13

    semoga membantu.......



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