TeX Quellcode:

\begin{array}{rclcl} 8x(2x-3) &=& -25 &\vert& +25 \cr 16x^2-24x+25 &=& 0 &\vert& :16 \cr x^2-\dfrac{3}{2}x+\dfrac{25}{16} &=& 0 &\vert& \text{p-q-Formel} \cr x_{1,2} &=& \dfrac{3}{4} \pm \sqrt{\dfrac{9}{16}-\dfrac{25}{16}} \cr &=& \dfrac{3}{4} \pm \sqrt{-1} \cr \cr x_1 &=& \dfrac{3}{4}+i \cr\cr x_2 &=& \dfrac{3}{4}-i \cr \cr \mathbb{L} &=& \left\{\dfrac{3}{4}+i \; ; \; \dfrac{3}{4}-i\right\}\end{array}