TeX Quellcode:
\begin{array}{rclll} \sqrt[3]{-5+x} &=& \sqrt[6]{-15x+49} &\vert & ()^6\\\left(-5+x\right)^2 &=& -15x+49 \\25-10x+x^2 &=& -15x+49 &\vert & +15x-49\\x^2+5x-24 &=& 0 &\vert & \text{p-q-Formel}\\x_{1,2} &=& -\dfrac{5}{2}\pm\sqrt{\left(\dfrac{5}{2}\right)^2+24}\\x_{1,2} &=& -\dfrac{5}{2}\pm\sqrt{\dfrac{121}{4}}\\\\x_1 &=& -\dfrac{5}{2}+\dfrac{11}{2} = 3\;\in\;\mathbb{D}\\x_2 &=& -\dfrac{5}{2}-\dfrac{11}{2} = -8\;\in\;\mathbb{D}\end{array}