TeX Quellcode:

\begin{array}{lrclclcl} & \mathbb{D} &=& \mathbb{R} \cr\cr & \left(5x^2-\sqrt{5}x\right)\left(x^3+x^2-4x+2\right) &=& 0 &\vert& \text{Satz vom Nullprodukt} \cr \text{Faktor 1:} & 5x^2-\sqrt{5}x &=& 0 \cr & x\left(5x-\sqrt{5}\right) &=& 0 &\vert& \text{Satz vom Nullprodukt} \cr \text{Faktor 1.1:} & x_1 &=& 0 \cr\cr \text{Faktor 1.2:} & 5x-\sqrt{5} &=& 0 &\vert& +\sqrt{5} \cr & 5x &=& \sqrt{5} &\vert& :5 \cr & x_2 &=& \dfrac{\sqrt{5}}{5} \approx 0{,}45 \cr\cr \text{Faktor 2:} & x^3+x^2-4x+2 &=& 0 \end{array}