TeX Quellcode:

\begin{array}{crclll} & \dfrac{\frac{3}{2}x^3+\frac{4}{3}x^2+\frac{5}{4}x}{x^7+x^3} &=& 0 &\vert & \cdot \left(x^7+x^3\right)\\\\& \dfrac{3}{2}x^3+\dfrac{4}{3}x^2+\dfrac{5}{4}x &=& 0 \\\\& x\left(\dfrac{3}{2}x^2+\dfrac{4}{3}x+\dfrac{5}{4}\right) &=& 0 &\vert & \text{Satz vom Nullpunkt}\\\text{Faktor 1:} & x &=& 0 \;\not\in\;\mathbb{D}\\\\\text{Faktor 2:} & \dfrac{3}{2}x^2+\dfrac{4}{3}x+\dfrac{5}{4} &=& 0 &\vert & :\dfrac{3}{2}\\\\& x^2+\dfrac{8}{9}x+\dfrac{10}{12} &=& 0 &\vert & \text{p-q-Formel}\\\\& x_{1,2} &=& -\dfrac{4}{9}\pm\sqrt{\left(\dfrac{4}{9}\right)^2-\dfrac{5}{6}}\\\\& x_{1,2} &=& -\dfrac{4}{9}\pm\sqrt{-\dfrac{309}{486}}\end{array}