TeX Quellcode:

\begin{array}{rclll}30 &=& 10 \ln (x^2-4x+4)-10 &\vert & +10\cr 40 &=& 10 \ln (x^2-4x+4) &\vert & : 10\cr 4 &=& \ln (x^2-4x+4) &\vert & e^{*}\cr e^{4} &=& x^2-4x+4 &\vert & -e^{4}\cr 0 &=& x^2-4x+4-e^{4} &\vert& \text{p-q-Formel}\cr x_{1,2} &=& 2 \pm \sqrt{4-4+e^{4}}\cr x_{1,2} &=& 2 \pm \sqrt{e^{4}}\cr\cr x_1 &=& 2+e^{2}\approx 9{,}40 \;\in\;\mathbb{D} & & \rightarrow \quad P_2 \left(2+e^{2} \mid 30 \right)\cr x_2 &=& 2-e^{2}\approx -5{,}40 \;\in\;\mathbb{D} & & \rightarrow \quad P_3 \left( 2-e^{2} \mid 30 \right)\end{array}