Calculer N (solution complexe)
\left\{\begin{matrix}N=\frac{KR}{t\left(R+1\right)}\text{, }&K\neq 0\text{ and }R\neq -1\text{ and }t\neq 0\\N\neq 0\text{, }&K=0\text{ and }R=-1\text{ and }t\neq 0\\N\in \mathrm{C}\text{, }&R=0\text{ and }t=0\text{ and }K\neq 0\end{matrix}\right,
Calculer K
\left\{\begin{matrix}K=\frac{Nt\left(R+1\right)}{R}\text{, }&t\neq 0\text{ and }N\neq 0\text{ and }R\neq 0\\K\neq 0\text{, }&\left(t=0\text{ or }N=0\right)\text{ and }R=0\end{matrix}\right,
Calculer N
\left\{\begin{matrix}N=\frac{KR}{t\left(R+1\right)}\text{, }&K\neq 0\text{ and }R\neq -1\text{ and }t\neq 0\\N\neq 0\text{, }&K=0\text{ and }R=-1\text{ and }t\neq 0\\N\in \mathrm{R}\text{, }&R=0\text{ and }t=0\text{ and }K\neq 0\end{matrix}\right,
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Exemples
Équation du second degré
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonométrie
4 \sin \theta \cos \theta = 2 \sin \theta
Équation linéaire
y = 3x + 4
Arithmétique
699 * 533
Matrice
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Équation simultanée
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Différenciation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Intégration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limites
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}