TeX Quellcode:

\begin{array}{rclcl}2 &=& \dfrac{10}{x-2}-\dfrac{10}{x+2} &\vert& \cdot (x+2)(x-2) \cr\cr 2(x+2)(x-2) &=& 10(x+2) - 10(x-2) \cr 2(x^2-4) &=& 10x+20-10x+20 \cr 2x^2-8 &=& 40 &\vert& +8 \cr 2x^2 &=& 48 &\vert& :2 \cr x^2 &=& 24 &\vert& \pm \sqrt{} \cr\cr x_{1,2} &=& \pm \sqrt{24} \cr&=& \pm \sqrt{4 \cdot 6} \cr &=& \pm 2\sqrt{6} \approx \pm 4{,}90 \;\in\;\mathbb{D} \cr \cr \mathbb{L} &=& \left\{-2\sqrt{6}; 2\sqrt{6}\right\} \end{array}