Resolver n (complex solution)
\left\{\begin{matrix}n=\frac{2\pi n_{1}i}{\ln(x)}\text{, }n_{1}\in \mathrm{Z}\text{, }&x\neq 1\text{ and }x\neq 0\\n\in \mathrm{C}\text{, }&x=1\end{matrix}\right.
Resolver x (complex solution)
x=e^{-\frac{2\pi n_{1}\left(Im(n)+iRe(n)\right)}{\left(Re(n)\right)^{2}+\left(Im(n)\right)^{2}}}
n_{1}\in \mathrm{Z}
Resolver n
\left\{\begin{matrix}n=0\text{, }&x\neq 0\text{ and }|x|\neq 1\\n\in \mathrm{R}\text{, }&x=1\end{matrix}\right.
Resolver x
\left\{\begin{matrix}\\x=1\text{, }&\text{unconditionally}\\x=-1\text{, }&Numerator(n)\text{bmod}2=0\text{ and }Denominator(n)\text{bmod}2=1\\x\neq 0\text{, }&n=0\end{matrix}\right.
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Exemplos
Ecuación cuadrática
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometría
4 \sin \theta \cos \theta = 2 \sin \theta
Ecuación linear
y = 3x + 4
Aritmética
699 * 533
Matriz
\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]
Ecuación simultánea
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferenciación
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integración
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Límites
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}