Задача 14. Найдите корень уравнения:    \(\frac{1}{{2x — 6}} = 2.\)

Ответ

ОТВЕТ: 3,25.

Решение

\(\frac{1}{{2x — 6}} = 2\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\left\{ {\begin{array}{*{20}{c}}{2x — 6 \ne 0\,}\\{4x — 12 = 1}\end{array}} \right.\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\left\{ {\begin{array}{*{20}{c}}{x \ne 3\,\,\,\,\,\,\,\,}\\{x = 3,25\,}\end{array}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 3,25.} \right.\)

Ответ:  3,25.