Задача 22. Найдите корень уравнения \(4\left( {x-6} \right) = 5\)
Решение
\(4\left( {x-6} \right) = 5\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x-24 = 5\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x = 5 + 24\,\,\,\,\,\, \Leftrightarrow \)
\( \Leftrightarrow \,\,\,\,\,\,4x = 29\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = \dfrac{{29}}{4}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 7\dfrac{1}{4}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 7,25.\)
Ответ: 7,25.