TeX Quellcode:

\begin{array}{rclll}4 &=&-\log_{2} \left( \dfrac{1}{16}x^2-\dfrac{1}{2}x \right) &\vert & \cdot (-1)\cr -4 &=&\log_{2} \left( \dfrac{1}{16}x^2-\dfrac{1}{2}x \right) &\vert & 2^{*}\cr\cr \dfrac{1}{16} &=&\dfrac{1}{16}x^2-\dfrac{1}{2}x &\vert & -\dfrac{1}{16}\cr\cr 0 &=&\dfrac{1}{16}x^2-\dfrac{1}{2}x-\dfrac{1}{16} &\vert & : \dfrac{1}{16}\cr 0 &=& x^2-8x-1 &\vert& \text{p-q-Formel}\cr x_{1,2} &=& 4 \pm \sqrt{16+1}\cr\cr x_1 &=& 4 +\sqrt{17}\approx 8{,}12\;\in\;\mathbb{D} & & \rightarrow \quad P_2 \left( 4+ \sqrt{17} \mid 4 \right)\cr x_2 &=& 4 - \sqrt{17}\approx -0{,}12\;\in\;\mathbb{D} & & \rightarrow \quad P_3 \left( 4- \sqrt{17} \mid 4 \right)\end{array}