TeX Quellcode:
\begin{array}{rclcll} \left(\dfrac{1}{x}-3\right) \cdot 2x^2 &=& \dfrac{x^2+8x+16}{x+4} \cr 2x-6x^2 &=& \dfrac{(x+4)^2}{x+4} \cr 2x-6x^2 &=& x+4 & \vert & -2x+6x^2 \cr 0 &=& 6x^2-x+4 & \vert & :6 \cr 0 &=& x^2-\dfrac{1}{6}x+\dfrac{2}{3} &\vert& \text{p-q-Formel} \cr\cr x_{1,2} &=& \dfrac{1}{12} \pm \sqrt{\left(\dfrac{1}{12}\right)^2-\dfrac{2}{3}} \cr x_{1,2} &=& \dfrac{1}{12} \pm \sqrt{-\dfrac{95}{144}} \end{array}