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| author | Florian Fischer <florian.fischer@muhq.space> | 2023-12-15 19:19:01 +0100 |
|---|---|---|
| committer | Florian Fischer <florian.fischer@muhq.space> | 2023-12-15 19:19:01 +0100 |
| commit | 374dfbc145354ddf909d01d7ac324e14b022c269 (patch) | |
| tree | c2434cf644d5b6b77e2a2ed20329543804544d3f /Mathe/22_23 | |
| parent | 273db68d4bf0dda1259d63ecf15d9555cee7d5b5 (diff) | |
| download | unterricht-374dfbc145354ddf909d01d7ac324e14b022c269.tar.gz unterricht-374dfbc145354ddf909d01d7ac324e14b022c269.zip | |
change engine back from lualatex to pdflatex
Also cleanup alot of old cruft and fix some bugs.
This is done in preparation to precompile my latex classes.
Diffstat (limited to 'Mathe/22_23')
| -rw-r--r-- | Mathe/22_23/07/06/Aufgaben/zeige_nullstelle_und_bestimme_rest.tex | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/Mathe/22_23/07/06/Aufgaben/zeige_nullstelle_und_bestimme_rest.tex b/Mathe/22_23/07/06/Aufgaben/zeige_nullstelle_und_bestimme_rest.tex index 9ec09887..d7424b3e 100644 --- a/Mathe/22_23/07/06/Aufgaben/zeige_nullstelle_und_bestimme_rest.tex +++ b/Mathe/22_23/07/06/Aufgaben/zeige_nullstelle_und_bestimme_rest.tex @@ -11,7 +11,7 @@ $f(x) = x^4 - 4x^3 - 11x^2 + 30x$ & $a = 5$ \\ \begin{Lsg} $f(5) = 0 \Rightarrow$ 5 ist Nullstelle von f. \vspace{3mm} \\ -$(x^4 - 4x^3 - 11x^2 + 30x) ∶ (x - 5) = x^3 + x^2 - 6x =$ \vspace{3mm} \\ +$(x^4 - 4x^3 - 11x^2 + 30x) : (x - 5) = x^3 + x^2 - 6x =$ \vspace{3mm} \\ $x^3 + x^2 - 6x = x \cdot (x^2 - x - 6) = x \cdot (x + 3)(x - 2)$ \vspace{3mm} \\ $\Rightarrow f(x) = x \cdot (x - 5)(x + 3)(x + 2)$ mit Nullstellen $x_1 = 2$; $x_2 = 0$; $x_3 = -3$; $x_4 = 5$ \end{Lsg} |