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authorKarl Berry <karl@freefriends.org>2009-05-19 18:54:54 +0000
committerKarl Berry <karl@freefriends.org>2009-05-19 18:54:54 +0000
commit2d248026682e0a02fa2b004a0ad2f13f57d8535c (patch)
tree7088bbd745de030191c2d843c4b3f4d9d5c46d91 /Master/texmf-dist/doc/latex/kopka/uebungen/kapitel5/ueb5-9.tex
parenteecee5a57aa7fbeb22e0df8440fb3b06c5117fc7 (diff)
move german latex docs out of texmf-doc
git-svn-id: svn://tug.org/texlive/trunk@13264 c570f23f-e606-0410-a88d-b1316a301751
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+\documentclass{article}
+\usepackage{german}
+\begin{document}
+Die reduzierte kubische Gleichung $y^3 + 3py +2q = 0$ hat f"ur
+$D = q^2 + p^3 > 0$
+eine reelle und zwei komplexe L"osungen. Diese lassen sich mit den Abk"urzungen
+\[ u = \sqrt[3]{-q + \sqrt{q^2+p^3}},\qquad v = \sqrt[3]{-q - \sqrt{q^2+p^3}} \]
+nach der \emph{Cardanischen} Formel als
+\begin{equation} y_1 = u + v \end{equation}
+\begin{equation}
+ y_2 = -\frac{u+v}{2} + \frac{i}{2}\sqrt{3}(u - v)
+\end{equation}
+\begin{equation}
+ y_3 = -\frac{u+v}{2} - \frac{i}{2}\sqrt{3}(u-v)
+\end{equation}
+darstellen.
+\end{document}
+