TeX Quellcode:

\begin{array}{rclcll}0 &=& 2\sqrt[3]{t^2-8}-1 &\vert& +1 \\1 &=& 2\sqrt[3]{t^2-8} &\vert& :2 \\ \\\dfrac{1}{2} &=& \sqrt[3]{t^2-8} &\vert& ()^3 \\ \\\left(\dfrac{1}{2}\right)^3 &=& t^2-8 \\ \\\dfrac{1}{8} &=& t^2-8 &\vert& +8 \\ \\\dfrac{65}{8} &=& t^2 &\vert& \pm\sqrt{} \\ \\t_{1,2} &=& \pm\sqrt{\dfrac{65}{8}} \\ \\t_1 &=& \sqrt{\dfrac{65}{8}} \approx 2{,}85 \;\in\;\mathbb{D} \\ \\t_2 &=& -\sqrt{\dfrac{65}{8}} \approx -2{,}85 \;\in\;\mathbb{D} \\\end{array}