[tex]\frac{40}{x-10}+\frac{8}{x}=1\\\Leftrightarrow \frac{40x+8x-80}{x(x-10)}=1\\\Rightarrow 48x-80=x^2-10x\\\Leftrightarrow x^2-58x+80=0\\\Leftrightarrow \left ( x^2-58x+841 \right )-761=0\\\Leftrightarrow \left ( x-29 \right )^2-761=0\\\Leftrightarrow \left ( x-29-\sqrt{761} \right )\left ( x-29+\sqrt{761} \right )=0\\\Leftrightarrow \left[\begin{matrix} x=29+\sqrt{761} & \\ x=29-\sqrt{761} & \end{matrix}\right.[/tex][tex]\frac{40}{x-10}+\frac{8}{x}=1[/tex]
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