TeX Quellcode:
\begin{array}{lrclcl} & \mathbb{D} &=& \mathbb{R} \cr\cr & 0 &=& \left(\dfrac{5}{3}y^2-\dfrac{7}{4}y+8\right) \cdot e^{-\frac{1}{2}y^2+2} &\vert& \text{Satz vom Nullprodukt} \cr \text{Faktor 1:} & 0 &=& e^{-\frac{1}{2}y^2+2} \cr\cr \text{Faktor 2:} & 0 &=& \dfrac{5}{3}y^2-\dfrac{7}{4}y+8 &\vert& \cdot \dfrac{3}{5} \cr\cr & 0 &=& y^2-\dfrac{21}{20}y+\dfrac{24}{5} &\vert& \text{p-q-Formel} \cr\cr & y_{1,2} &=& \dfrac{21}{40} \pm \sqrt{\left(-\dfrac{21}{40}\right)^2-\dfrac{24}{5}} \cr & y_{1,2} &=& \dfrac{21}{40} \pm \sqrt{-\dfrac{7.239}{1.600}} \end{array}