Resoleu C (complex solution)
C=-\left(1-P\right)^{N}+1
Resoleu N (complex solution)
\left\{\begin{matrix}N=\frac{2i\pi n_{1}}{\ln(1-P)}+\log_{1-P}\left(1-C\right)\text{, }n_{1}\in \mathrm{Z}\text{, }&C\neq 1\text{ and }P\neq 0\text{ and }P\neq 1\\N\in \mathrm{C}\text{, }&\left(P=1\text{ and }C=1\right)\text{ or }\left(P=0\text{ and }C=0\right)\end{matrix}\right,
Resoleu C
C=-\left(1-P\right)^{N}+1
\left(P>1\text{ and }Denominator(N)\text{bmod}2=1\right)\text{ or }\left(P=1\text{ and }N>0\right)\text{ or }P<1
Resoleu N
\left\{\begin{matrix}N=\log_{1-P}\left(1-C\right)\text{, }&C<1\text{ and }P\neq 0\text{ and }P<1\\N\in \mathrm{R}\text{, }&\left(P=0\text{ and }C=0\right)\text{ or }\left(P=2\text{ and }C=2\text{ and }Denominator(N)\text{bmod}2=1\text{ and }Numerator(N)\text{bmod}2=1\right)\\N>0\text{, }&P=1\text{ and }C=1\end{matrix}\right,
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Exemples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Equació lineal
y = 3x + 4
Aritmètica
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Matriu
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Equació simultània
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferenciació
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integració
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Límits
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