Question

помоооооогиииииитееееее​

Answer 1

$\frac{(x^2-13x+30)(x-1)}{\sqrt{x-1}-3}=0\; \; \; \Leftrightarrow \; \; \; \left\{\begin{array}{ccc}(x^2-13x+30)(x-1)=0\\\sqrt{x-1}-3\ne 0\\x-1\geq 0\end{array}\right\\\\\\\left\{\begin{array}{ccc}(x-3)(x-10)(x-1)=0\\\sqrt{x-1}\ne 3\\x\geq 1\end{array}\right\; \; \; \left\{\begin{array}{ccc}x_1=3\; ,\; x_2=10\; ,\; x_3=1\\x-1\ne 9\\x\geq 1\end{array}\right\\\\\\\left\{\begin{array}{ccc}x_1=3\; ,\; x_2=10\; ,\; x_3=1\\x\ne 10\\x\geq 1\end{array}\right\; \; \; \Rightarrow \; \; Otvet:\; \; x_1=3\; ,\; x_2=1\; ,\; x=3\in [\frac{\pi}{2};\pi \; ]\; .$