TeX Quellcode:

\begin{array}{rclcl} \log_{76} \left(12x^2+18x-11\right) &=& 0 &\vert& 76^* \\ 12x^2+18x-11 &=& 1 &\vert& -1 \\ 12x^2+18x-12 &=& 0 &\vert& :12 \\ x^2+\dfrac{3}{2}x-1 &=& 0 &\vert& \text{p-q-Formel} \\ x_{1,2} &=& - \dfrac{3}{4} \pm \sqrt{\dfrac{9}{16}+1} \\ x_{1,2} &=& - \dfrac{3}{4} \pm \sqrt{\dfrac{25}{16}} \\\\x_1 &=& - \dfrac{3}{4}+\dfrac{5}{4} = \dfrac{1}{2} \in \mathbb{D} \\ x_2 &=& - \dfrac{3}{4}-\dfrac{5}{4} = -2 \in \mathbb{D}\end{array}