TeX Quellcode:

\begin{array}{clrclcl}& & \mathbb{D} &=& \mathbb{R} \cr\cr\text{1. Zeile:} & & \dfrac{4}{3}x^4-20x^2 &=& \dfrac{8}{3}x^3+12x^2 &\vert& :\dfrac{4}{3} \cr \text{2. Zeile:} & & x^4-15x^2 &=& 2x^3+9x^2 &\vert& -2x^3-9x^2 \cr \text{3. Zeile:} & & x^4-2x^3-24x^2 &=& 0 &\vert& \text{ausklammern} \cr \text{4. Zeile:} & & x^2\cdot\left(x^2-2x-24\right) &=& 0 &\vert& \text{Satz vom Nullprodukt} \cr \text{5. Zeile:} & \text{Faktor 1:} & x_1^2 &=& 0 &\vert& \pm\sqrt{} \cr\text{6. Zeile:} & & x_1 &=& 0 \cr\cr\text{7. Zeile:} & \text{Faktor 2:} & x^2-2x-24 &=& 0 &\vert& \text{p-q-Formel} \cr& & x_{2,3} &=& 1\pm\sqrt{(-1)^2-(-24)} \cr& & &=& 1\pm\sqrt{25} \cr \cr& & x_2 &=& 1+5 = 6 \cr & & x_3 &=& 1-5 = -4 \cr\cr & & \mathbb{L} &=& \{-4; 0; 6\}\end{array}