TeX Quellcode:

\begin{array}{crclll}& 6+\dfrac{5x^3+9x}{x^3} &=& -\dfrac{1}{x}+11 &\vert & +\dfrac{1}{x}-11 \cr\cr & -5+\dfrac{5x^3+9x}{x^3}+\dfrac{1}{x} &=& 0 \cr\cr & -5+\dfrac{5x^3+9x}{x^3}+\dfrac{x^2}{x^3} &=& 0 \cr\cr & -5+\dfrac{5x^3+x^2+9x}{x^3} &=& 0 &\vert & \cdot x^3 \cr\cr & -5x^3+5x^3+x^2+9x &=& 0 \cr & x^2+9x &=& 0 \cr & x(x+9) &=& 0 & \vert & \text{Satz vom Nullprodukt} \cr \text{Faktor 1:} & x_1 &=& 0 \;\not\in\;\mathbb{D} \cr\cr \text{Faktor 2:} & x_2+9 &=& 0 &\vert & -9 \cr & x_2 &=& -9 \;\in\;\mathbb{D} \cr\cr & \mathbb{L} &=& \left\{-9\right\} \end{array}