Задача 2. Найдите корень уравнения \(\sqrt {\frac{5}{{3x — 7}}} = \frac{1}{2}.\)
Ответ ОТВЕТ: 9.
ОТВЕТ: 9.
Решение \(\sqrt {\frac{5}{{3x — 7}}} = \frac{1}{2}\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\frac{5}{{3x — 7}} = \frac{1}{4}\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,3x — 7 = 20\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 9.\) Ответ: 9.
\(\sqrt {\frac{5}{{3x — 7}}} = \frac{1}{2}\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\frac{5}{{3x — 7}} = \frac{1}{4}\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,3x — 7 = 20\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = 9.\)
Ответ: 9.