Matematika

Pertanyaan

bantu jawab dong kak no 1 dan 2 ya kak beserta jalan nya
bantu jawab dong kak no 1 dan 2  ya kak beserta jalan nya

1 Jawaban

  • ① x² - (m - 2)x + 4 = 0
    a = 1, b = -(m - 2), c = 4

    α + β = -b/a = -(-(m - 2)) = m - 2
    αβ = c/a = 4

    α² + β² = 8
    (α + β)² - 2αβ = 8
    (m - 2)² - 2(4) = 8
    m² - 4m + 4 - 8 = 8
    m² - 4m - 12 = 0
    (m + 2)(m - 6) = 0
    m = -2 atau m = 6

    ② y = 2x + 1, x = (y - 1)/2, kemudian masukkan ke pers. kuadrat semula diperoleh
    2((x - 1)/2)² + 3((x - 1)/2) - 8 = 0
    2((x² - 2x + 1)/4) + ((3x - 3)/2) - 8 = 0
    ((x² - 2x + 1)/2) + ((3x - 3)/2) - 8 = 0
    x² - 2x + 1 + 3x - 3 - 16 = 0
    x² + x - 18 = 0

    semoga membantu ^^