TeX Quellcode:

\begin{array}{rclll}23 &=& \log_5(x^2+2x) &\vert & 5^{*}\cr 5^{23} &=& x^2+2x &\vert & - 5^{23}\cr 0 &=& x^2+2x-5^{23} &\vert& \text{p-q-Formel}\cr x_{1,2} &=& -1\pm \sqrt{1+5^{23}}\cr\cr x_1 &=& -1+ \sqrt{1+5^{23}} \approx 109.183.005{,}71 \;\in\;\mathbb{D} & & \rightarrow \quad P_2 \left( -1+ \sqrt{1+5^{23}} \mid 23 \right)\cr x_2 &=& -1- \sqrt{1+5^{23}} \approx -109.183.007{,}71 \;\in\;\mathbb{D} & & \rightarrow \quad P_3 \left( -1- \sqrt{1+5^{23}} \mid 23 \right)\end{array}