TeX Quellcode:
\begin{array}{crclcl}\text{1. Zeile:} & -\dfrac{1}{x+10}+\dfrac{6}{5} &=& \dfrac{25}{x^2+20x+100} \cr \text{2. Zeile:} & -\dfrac{1}{x+10}+\dfrac{6}{5} &=& \dfrac{25}{(x+10)^2} &\vert& \cdot (x+10)^2 \cr\text{3. Zeile:} & -\dfrac{1}{x+10}\cdot (x+10)^2 +\dfrac{6}{5}\cdot (x+10)^2 &=& 25 &\vert& \cdot 5 \cr \text{4. Zeile:} & -5(x+10)+6\left(x^2+20x+100\right) &=& 125 \cr & -5x-50 +6x^2+120x+600 &=& 125 \cr & 6x^2+115x+550 &=& 125 &\vert& -125 \cr & 6x^2+115x+425 &=& 0 \cr & & \dots \cr & x_1 &=& -\dfrac{85}{6} \in \mathbb{D} \cr & x_2 &=& -5 \in \mathbb{D} \cr\cr& \mathbb{L} &=& \left\{-\dfrac{85}{6}; -5\right\}& \end{array}