TeX Quellcode:

\begin{array}{rclcl} 5 &=& \sqrt{3+k}-\sqrt{1-k} &\vert& ()^2 \cr 25 &=& (3+k)-2\sqrt{3+k}\sqrt{1-k}+(1-k) \cr 25 &=& 4-2\sqrt{(3+k)(1-k)} &\vert& -4 \cr 21 &=& -2\sqrt{-k^2-2k+3} &\vert& ()^2 \cr 441 &=& 4(-k^2-2k+3) \cr 441 &=& -4k^2-8k+12 &\vert& -441 \cr 0 &=& -4k^2-8k-429 &\vert& :(-4) \cr 0 &=& k^2+2k+\dfrac{429}{4} &\vert& \text{p-q-Formel} \cr\cr k_{1,2} &=& -1 \pm \sqrt{1-\dfrac{429}{4}} \cr k_{1,2} &=& -1 \pm \sqrt{-\dfrac{425}{4}} \end{array}