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| Lösungsformel für die allgemeine quadratische Gleichung (a-b-c-Formel) | |
| \[ \begin{aligned} x_{1/2} = \frac{ -b \pm \sqrt{ b^{2} -4\,a\,c } }{ 2a } \end{aligned} \] |
<div>
\[
\begin{aligned}
x_{1/2} = \frac{ -b \pm \sqrt{ b^{2} -4\,a\,c } }{ 2a }
\end{aligned}
\]
</div>
|
| Knallgasreaktion | |
| \[ \begin{aligned} 2 H_{2} + O_{2} \ \xrightarrow{\Delta T} \ 2 H_{2}O \end{aligned} \] |
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\[
\begin{aligned}
2 H_{2} + O_{2} \ \xrightarrow{\Delta T} \ 2 H_{2}O
\end{aligned}
\]
</div>
|
| Redoxreaktion | |
| \[ \begin{array}{ll} Ox.: & Zn & \rightleftharpoons Zn^{2+} + 2 e^{-} \\ Red.: & 2 MnO_{2} + 2 e^{-} + 2 H_{3}O^{+} & \rightleftharpoons Mn_{2}O_{3} + 3 H_{2}O \\ & \hline \\ & Zn + 2 MnO_{2} + 2 H_{3}O^{+} & \rightleftharpoons Zn^{2+} + Mn_{2}O_{3} + 3 H_{2}O \end{array} \] |
<div>
\[
\begin{array}{ll}
Ox.: & Zn & \rightleftharpoons Zn^{2+} + 2 e^{-} \\
Red.: & 2 MnO_{2} + 2 e^{-} + 2 H_{3}O^{+} & \rightleftharpoons Mn_{2}O_{3} + 3 H_{2}O \\
& \hline \\
& Zn + 2 MnO_{2} + 2 H_{3}O^{+} & \rightleftharpoons Zn^{2+} + Mn_{2}O_{3} + 3 H_{2}O
\end{array}
\]
</div>
|
$$ 2 H_{2} + O_{2} \ \xrightarrow{\Delta T} \ 2 H_{2}O $$