TeX Quellcode:
\begin{array}{rclcl} -\dfrac{1}{2}z-2i &=& -\dfrac{1}{8}z^2-iz+\dfrac{3}{2} &\vert& +\dfrac{1}{8}z^2+iz-\dfrac{3}{2} \cr \dfrac{1}{8}z^2-\dfrac{1}{2}z+iz-\dfrac{3}{2}-2i &=& 0 \cr z^2+(-4+8i)z-12-16i &=& 0 \cr z_{1,2} &=& -\dfrac{-4+8i}{2}\pm\sqrt{\left(\dfrac{-4+8i}{2}\right)^2-(-12-16i)} \cr &=& -\dfrac{-2(2-4i)}{2}\pm\sqrt{\dfrac{16-64i-64}{4}+12+16i} \cr &=& 2-4i\pm\sqrt{-\dfrac{48}{4}-\dfrac{64}{4}i+12+16i} \cr &=& 2-4i\pm 0 \cr \cr \mathbb{L} &=& \left\{2-4i\right\}\end{array}