TeX Quellcode:

\begin{array}{rclcll} 775 &=& 100x^2-50x+25 &\vert & -775 \cr 0 &=& 100x^2-50x-750 &\vert & :100 \cr 0 &=& x^2-\dfrac{1}{2}x-\dfrac{15}{2} &\vert& \text{p-q-Formel} \cr x_{1,2} &=& \dfrac{1}{4} \pm \sqrt{\left(-\dfrac{1}{4}\right)^2+\dfrac{15}{2}} \cr x_{1,2} &=& \dfrac{1}{4} \pm \sqrt{\dfrac{121}{16}} \cr\cr x_1 &=& \dfrac{1}{4}+\dfrac{11}{4} = 3 & \rightarrow \quad P_2(3 \mid 775) \cr x_2 &=& \dfrac{1}{4}-\dfrac{11}{4} = -\dfrac{5}{2} & \rightarrow \quad P_3\left(-\dfrac{5}{2} \mid 775\right) \end{array}