Задача 28. Найдите корень уравнения \(4\left( {x + 10} \right) = -1\)
Решение
\(4\left( {x + 10} \right) = -1\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x + 40 = -1\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,4x = -40-1\,\,\,\,\,\, \Leftrightarrow \)
\( \Leftrightarrow \,\,\,\,\,\,4x = -41\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = -\dfrac{{41}}{4}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = -10\dfrac{1}{4}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = -10,25.\)
Ответ: \(-10,25.\)