Matematika

Pertanyaan

Tiga bilangan barisan aritmatika. Jumlah ketiga bilangan tersebut 21 dan hasil kali nya 280. Berapakah bilangan bilangan tersebut

1 Jawaban

  • misalkan a, b, dan c
    2×U2 = U1 + U3
    2×b = a + c
    2b = a + c

    a + b + c = 21
    a + c + b = 21
    2b + b = 21
    3b = 21
    b = 21/3 = 7

    a + c = 2b = 2(7) = 14
    a = 14 - c

    a × b × c = 280
    a × 7 × c = 280
    a × c = 280/7
    a × c = 40
    (14 - c)c = 40
    14c - c² = 40
    0 = c² - 14c + 40
    c² - 14c + 40 = 0
    (c - 10)(c - 4) = 0
    c = 10 atau c = 4
    ambil c = 10
    maka a + c = 14
    a = 4
    b = 7
    c = 10

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