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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 | |
\[ \begin{aligned} 2 H_{2} + O_{2} \ \xrightarrow{\Delta T} \ 2 H_{2}O \end{aligned} \] |
<div> \[ \begin{aligned} 2 H_{2} + O_{2} \ \xrightarrow{\Delta T} \ 2 H_{2}O \end{aligned} \] </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> |
$$ 2 H_{2} + O_{2} \ \xrightarrow{\Delta T} \ 2 H_{2}O $$