TeX Quellcode:

\begin{array}{rclll}\mathbb{D} &=& \mathbb{C}\setminus_{\{0+0\cdot i\}} \\\\x+4 &=& \dfrac{-10}{x}+3+i^2 &\vert & i^2=-1 \\\\x+4 &=& \dfrac{-10}{x}+2 &\vert & -2 \\\\x+2 &=& \dfrac{-10}{x} &\vert & \cdot x\\x^2+2x &=& -10 &\vert & +10\\x^2+2x+10 &=& 0 &\vert & \text{p-q-Formel}\\x_{1,2} &=& -\dfrac{2}{2}\pm\sqrt{\left(\dfrac{2}{2}\right)^2-10}\\&=& -1\pm\sqrt{-9}\\&=& -1\pm\sqrt{-1\cdot 9}\\&=& -1\pm i\cdot 3\\\\x_1 &=& -1+3i\\x_2 &=& -1-3i\\\\\mathbb{L} &=& \left\{-1+3i\; ; \; -1-3i \right\}\end{array}