Решите уравнение: x / (x − 3) = (x + 2) / (x − 6)

  1. 3
  2. 6
  3. −⁵/₆
  4. ⁶/₅

📝 Detailed explanation

Перемножаем по правилу пропорции: x(x − 6) = (x − 3)(x + 2) ⇒ x² − 6x = x² − x − 6. Сократив x² с обеих сторон и перенеся переменные влево, получаем: −5x = −6, откуда x = ⁶/₅.
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