Задача 24. Найдите корень уравнения \(4\left( {x-8} \right) = -5\)
Решение
\(4\left( {x-8} \right) = -5\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x-32 = -5\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x = 32-5\,\,\,\,\,\, \Leftrightarrow \)
\( \Leftrightarrow \,\,\,\,\,\,4x = 27\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = \dfrac{{27}}{4}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 6\dfrac{3}{4}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 6,75.\)
Ответ: 6,75.