Задача 3. Найдите корень уравнения \(\sqrt {3x-8} = 5\).
Решение
\(\sqrt {3x-8} = 5\,\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,3x-8 = {5^2}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,3x = 25 + 8\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,3x = 33\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 11.\)
Ответ: 11.