summaryrefslogtreecommitdiff
path: root/Master/texmf-doc/doc/english/guide-to-latex/exercises/chap7/exer7-2.tex
diff options
context:
space:
mode:
Diffstat (limited to 'Master/texmf-doc/doc/english/guide-to-latex/exercises/chap7/exer7-2.tex')
-rw-r--r--Master/texmf-doc/doc/english/guide-to-latex/exercises/chap7/exer7-2.tex10
1 files changed, 0 insertions, 10 deletions
diff --git a/Master/texmf-doc/doc/english/guide-to-latex/exercises/chap7/exer7-2.tex b/Master/texmf-doc/doc/english/guide-to-latex/exercises/chap7/exer7-2.tex
deleted file mode 100644
index 56b238f25b8..00000000000
--- a/Master/texmf-doc/doc/english/guide-to-latex/exercises/chap7/exer7-2.tex
+++ /dev/null
@@ -1,10 +0,0 @@
-\documentclass{article}
-\begin{document}
-The reduced cubic equation $y^3 + 3py +2q = 0$ has one real and two complex
-solutions when $D = q^2 + p^3 > 0$. These are given by Cardan's formula as
-\[ y_1 = u + v,\quad y_2 = -\frac{u+v}{2} + \frac{i}{2}\sqrt{3}(u - v),\quad
- y_3 = -\frac{u+v}{2} - \frac{i}{2}\sqrt{3}(u-v) \]
-where
-\[ u = \sqrt[3]{-q + \sqrt{q^2+p^3}},\qquad v = \sqrt[3]{-q - \sqrt{q^2+p^3}} \]
-\end{document}
-