TeX Quellcode:

\begin{array}{rclcll} 4 &=& -3x^2+7x &\vert & -4 \cr 0 &=& -3x^2+7x-4 &\vert & :(-3) \cr 0 &=& x^2-\dfrac{7}{3}x+\dfrac{4}{3} &\vert& \text{p-q-Formel} \cr x_{1,2} &=& \dfrac{7}{6} \pm \sqrt{\left(-\dfrac{7}{6}\right)^2-\dfrac{4}{3}} \cr x_{1,2} &=& \dfrac{7}{6} \pm \sqrt{\dfrac{1}{36}} \cr\cr x_1 &=& \dfrac{7}{6}+\dfrac{1}{6} = \dfrac{4}{3} & \rightarrow \quad P_2\left(\dfrac{4}{3} \mid 4\right) \cr x_2 &=& \dfrac{7}{6}-\dfrac{1}{6} = 1 & \rightarrow \quad P_3(1 \mid 4) \end{array}