TeX Quellcode:

\begin{array}{rcl} t-\dfrac{x^2}{t} &=& t^3-t x^2 \cr\cr -\dfrac{x^2}{t}+t x^2 &=& t^3-t \cr\cr x^2\left(t-\dfrac{1}{t}\right) &=& t^3-t \cr\cr x^2 &=& \genfrac{}{}{1pt}{0}{t^3}{t-\dfrac{1}{t}}-\genfrac{}{}{1pt}{0}{t}{t-\dfrac{1}{t}} \cr\cr &=& \genfrac{}{}{1pt}{0}{t^3}{\dfrac{t^2-1}{t}}-\genfrac{}{}{1pt}{0}{t}{\dfrac{t^2-1}{t}} \cr\cr &=& \dfrac{t^4}{t^2-1}-\dfrac{t^2}{t^2-1} \cr\cr &=& \dfrac{t^4-t^2}{t^2-1} \cr\cr &=& \dfrac{t^2\left(t^2-1\right)}{t^2-1} \cr\cr &=& t^2 \cr\cr x_{1,2} &=& \pm t \end{array}