TeX Quellcode:
\begin{array}{rclcll}\dfrac{16x^2-120x}{x} &=& 8x^2 \cdot \dfrac{-x-1}{x+1} \cr\cr 16x-120 &=& 8x^2 \cdot \dfrac{-1(x+1)}{x+1} \cr\cr 16x-120 &=& -8x^2 & \vert & -16x+120 \cr 0 &=& -8x^2-16x+120 & \vert & :(-8) \cr 0 &=& x^2+2x-15 &\vert& \text{p-q-Formel} \cr x_{1,2} &=& -1 \pm \sqrt{1^2+15} \cr x_{1,2} &=& -1 \pm \sqrt{16} \cr\cr x_1 &=& -1+4 = 3 \;\in\;\mathbb{D} \cr x_2 &=& -1-4 = -5 \;\in\;\mathbb{D} \cr\cr \mathbb{L} &=& \{-5;3\} \end{array}