0\; ,\; \; \; 2t- \frac{3}{t}-5=0\\\\ \frac{2t^2-5t-3}{t}=0\; \; \to \; \; \left \{ {{2t^2-5t-3=0} \atop {t\ne 0}} \right. \\\\ D=49,\; \; \; t_1=3,\; \; t_2=-0,5<0\\\\\sqrt{x-1}=3\; \; \to \; \; x-1=9\; ,\; \; x=10\\\\Proverka:\; \; \; x=10:\; 2\sqrt{10-1}-\frac{3}{\sqrt{10-1}}=5\; ;\\\\2\cdot 3-\frac{3}{3}=5\; ;\\\\5=5\; ;" alt="2\sqrt{x-1}-\frac{3}{\sqrt{x-1}}=5\; ,\; \; \; \; ODZ:\; x-1\ \textgreater \ 0,\; \; x\ \textgreater \ 1\\\\t=\sqrt{x-1}>0\; ,\; \; \; 2t- \frac{3}{t}-5=0\\\\ \frac{2t^2-5t-3}{t}=0\; \; \to \; \; \left \{ {{2t^2-5t-3=0} \atop {t\ne 0}} \right. \\\\ D=49,\; \; \; t_1=3,\; \; t_2=-0,5<0\\\\\sqrt{x-1}=3\; \; \to \; \; x-1=9\; ,\; \; x=10\\\\Proverka:\; \; \; x=10:\; 2\sqrt{10-1}-\frac{3}{\sqrt{10-1}}=5\; ;\\\\2\cdot 3-\frac{3}{3}=5\; ;\\\\5=5\; ;" align="absmiddle" class="latex-formula">
