9, [tex]x^2+6x+7=0\\\Leftrightarrow (x+3)^2-2=0\\\Leftrightarrow \left ( x+3-\sqrt{2} \right )\left ( x+3+\sqrt{2} \right )=0\\\Leftrightarrow \left[\begin{matrix} x=\sqrt{2}-3 & \\ x=-\sqrt{2}-3 & \end{matrix}\right.[/tex]
10, [tex]\frac{1-x}{x+1}+3=\frac{2x+3}{x+1}\\\Leftrightarrow \frac{2x+3-1+x}{x+1}=3\\\Leftrightarrow \frac{3x+2}{x+1}=3\\\Rightarrow 3x+2=3x+3\\\Leftrightarrow 0x=1\\\Leftrightarrow x\in \varnothing[/tex]
11, [tex]\frac{(x+2)^2}{2x-3}-1=\frac{x^2+10}{2x-3}\\\Leftrightarrow \frac{x^2+4x+4-x^2-10}{2x-3}=1\\\Leftrightarrow \frac{4x-6}{2x-3}=1\\\Rightarrow 2=1\Leftrightarrow x\in \varnothing[/tex]