Задача 25. Найдите корень уравнения \(4\left( {x-2} \right) = -1\)
Решение
\(4\left( {x-2} \right) = -1\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x-8 = -1\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x = 8-1\,\,\,\,\,\, \Leftrightarrow \)
\( \Leftrightarrow \,\,\,\,\,\,4x = 7\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = \dfrac{7}{4}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 1,75.\)
Ответ: 1,75.