Ebatzi: φ (complex solution)
\phi =-\frac{i\ln(\frac{i\left(\sqrt{r^{2}-9}+r\right)}{3})}{3}+\frac{2\pi n_{1}}{3}\text{, }n_{1}\in \mathrm{Z}
\phi =-\frac{i\ln(\frac{-i\sqrt{r^{2}-9}+ir}{3})}{3}+\frac{2\pi n_{2}}{3}\text{, }n_{2}\in \mathrm{Z}
Ebatzi: r
r=3\sin(3\phi )
Ebatzi: φ
\phi =\frac{\arcsin(\frac{r}{3})+2\pi n_{1}}{3}\text{, }n_{1}\in \mathrm{Z}
\phi =\frac{-\arcsin(\frac{r}{3})+2\pi n_{2}+\pi }{3}\text{, }n_{2}\in \mathrm{Z}\text{, }|r|\leq 3
Partekatu
Kopiatu portapapeletan
Adibideak
Ekuazio koadratikoa
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometria
4 \sin \theta \cos \theta = 2 \sin \theta
Ekuazio lineala
y = 3x + 4
Aritmetika
699 * 533
Matrizea
\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]
Aldibereko ekuazioa
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferentziazioa
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrazioa
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Mugak
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}