TeX Quellcode:

\begin{array}{rclcll} -\dfrac{25}{19} &=& \dfrac{20x^2}{2x-100} & \vert & \cdot (2x-100) \cr\cr -\dfrac{25}{19}(2x-100) &=& 20x^2 \cr\cr -\dfrac{50}{19}x+\dfrac{2.500}{19} &=& 20x^2 &\vert& +\dfrac{50}{19}x-\dfrac{2.500}{19} \cr\cr 0 &=& 20x^2+\dfrac{50}{19}x-\dfrac{2.500}{19} & \vert & :20 \cr\cr 0 &=& x^2+\dfrac{5}{38}x-\dfrac{125}{19} &\vert& \text{p-q-Formel} \cr\cr x_{1,2} &=& -\dfrac{5}{76} \pm \sqrt{\left(\dfrac{5}{76}\right)^2+\dfrac{125}{19}} \cr &=& -\dfrac{5}{76} \pm \sqrt{\dfrac{38.025}{5.776}} \cr\cr x_1 &=& -\dfrac{5}{76} + \dfrac{195}{76} = \dfrac{5}{2}\in\mathbb{D} & & \rightarrow \quad P_2\left(\dfrac{5}{2} \mid -\dfrac{25}{19}\right) \cr x_2 &=& -\dfrac{5}{76} - \dfrac{195}{76} = -\dfrac{50}{19}\in\mathbb{D} & & \rightarrow \quad P_3\left(-\dfrac{50}{19} \mid -\dfrac{25}{19}\right)\end{array}