Matematika

Pertanyaan

tolongg dong lihat dulu soalnya,, mtk
tolongg dong lihat dulu soalnya,, mtk

2 Jawaban

  • Bab Persamaan Kuadrat
    Matematika SMP Kelas VIII

    x² + x + c = 0
    a = 1; b = 1; c = c

    α² + β² = 3
    (α + β)² - 2 αβ = 3
    (-b/a)² - 2 . c/a = 3
    (-1/1)² - 2 . c/1 = 3
    1 - 2c = 3
    2c = 1 - 3
    c = -2/2
    c = -1

    jawabannya B

  • Mapel : Matematika
    Kelas : X SMA
    Bab : Persamaan Kuadrat

    Pembahasan :
    x² + x + c = 0

    Berdasarkan Teorema Vietta
    a . β = c/a
    a . β = c/1
    a . β = c

    a + β = -b/a
    a + β = -1/1
    a + β = -1

    Maka...
    a² + β² = (a + β)² - 2aβ
    3 = (-1)² - 2c
    2c = 1 - 3
    2c = -2
    c = -1

    Opsi B.