√(5/(8-3x)=1/3) решить

[latex] \sqrt{ \frac{5}{8-3x} }= \frac{1}{3} [/latex] ОДЗ: [latex]8-3x\ \textgreater \ 0\\ -3x\ \textgreater \ -8\\ x\ \textless \ \frac{8}{3} [/latex] [latex]x\in(-\infty; \frac{8}{3}) [/latex] [latex]\sqrt{ \frac{5}{8-3x} }= \frac{1}{3}\\\\ \frac{5}{8-3x}= \frac{1}{9}\\\\ 8-3x=45\\\\ -3x=37\\\\ x=- \frac{37}{3}\\\\ x=-12 \frac{1}{3} [/latex] Ответ: [latex]x=-12 \frac{1}{3} [/latex]