Matematika

Pertanyaan

Faktor dari x pangkat 2 kurang 12 x pangkat 2 tambah 35

1 Jawaban

  • x² - 12x + 35 = 0
    a. Pemfaktoran biasa
    ➡(x - 5) × (x - 7) = 0
    ▶ x - 7 = 0
    x1 = 7
    ▶ x - 5 = 0
    x2 = 5

    b. Rumus abc
    ➡a = 1
    b = -12
    c = 35
    ➡(-b ± ✓b² - 4ac) ÷ 2a
    = (-(-12) ± ✓-12² - 4 × 1 × 35) ÷ 2 × 1
    = (12 ± ✓144 - 140) ÷ 2
    = (12 ± ✓4) ÷ 2
    = (12 ± 2) ÷ 2
    ➡ x1 = (12 + 2) ÷ 2
    = 14 ÷ 2
    = 7
    x2 = (12 - 2) ÷ 2
    = 10 ÷ 2
    = 5

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