TeX Quellcode:

\begin{array}{rclcl} \dfrac{x^2-2x+10}{x+1} &=& \dfrac{3x+16}{x+1} &\vert& \cdot (x+1) \cr\cr x^2-2x+10 &=& 3x+16 &\vert& -3x-16 \cr x^2-5x-6 &=& 0 &\vert& \text{p-q-Formel} \cr x_{1,2} &=& \dfrac{5}{2} \pm \sqrt{\left(-\dfrac{5}{2}\right)^2+6} \cr\cr &=& \dfrac{5}{2} \pm \sqrt{\dfrac{49}{4}} \cr\cr x_1 &=& \dfrac{5}{2} + \dfrac{7}{2} = 6 \in\mathbb{D} \cr\cr x_2 &=& \dfrac{5}{2} - \dfrac{7}{2} = -1 \;\not\in\;\mathbb{D} \cr \cr \mathbb{L} &=& \{6\} \end{array}