Решите квадратное уравнение: 12x² + 7x + 1 = 0

  1. (0; -1)
  2. (¹/₃; ¹/₄)
  3. (−¹/₃; −¹/₄)
  4. (¹/₃; −¹/₂)

📝 Detailed explanation

Вычислим дискриминант: D = 7² − 4 × 12 × 1 = 49 − 48 = 1. Найдем корни: x₁ = (−7 + 1) / 24 = −⁶/₂₄ = −¹/₄; x₂ = (−7 − 1) / 24 = −⁸/₂₄ = −¹/₃. Решение: (−¹/₃; −¹/₄).
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