TeX Quellcode:

\begin{array}{rclcl} \mathbb{D} &=& \mathbb{R} \cr\cr 2^{5z^2} \cdot 2^{95z-45} \cdot 2^{-55} &=& 1 &\vert& \text{1. Potenzgesetz} \cr 2^{5z^2+(95z-45)-55} &=& 1 &\vert& \text{ld()} \cr 5z^2 + 95z -100 &=& 0 &\vert& :5 \cr z^2+19z-20 &=& 0 &\vert&\text{p-q-Formel} \cr z_{1,2} &=& -\dfrac{19}{2} \pm \sqrt{\left(\dfrac{19}{2}\right)+20} \cr &=& -\dfrac{19}{2} \pm \sqrt{\dfrac{441}{4}} \cr\cr z_1 &=& -\dfrac{19}{2} + \dfrac{21}{2} = 1 \cr z_2 &=& -\dfrac{19}{2} - \dfrac{21}{2} =-20 \cr\cr \mathbb{L}&=&\left\{-20; 1\right\} \end{array}