Løs for x (complex solution)
x=\frac{1}{3}+\frac{1}{3}\left(4\ln(3)+3\ln(\left(-\frac{1}{36}\right)\left(\left(-i\right)\times 3^{\frac{1}{2}}+1\right)\left(\left(-1\right)\left(-18+309^{\frac{1}{2}}\right)^{\frac{1}{3}}+i\left(-18+309^{\frac{1}{2}}\right)^{\frac{1}{3}}\times 3^{\frac{1}{2}}+2\left(-18+\left(-1\right)\times 309^{\frac{1}{2}}\right)^{\frac{1}{3}}\right))+6i\pi n_{1}\right)\ln(5)^{-1}\text{, }n_{1}\in \mathrm{Z}
x=\frac{1}{3}+\left(\ln(\left(-18+309^{\frac{1}{2}}\right)^{\frac{1}{3}}+\left(-18+\left(-1\right)\times 309^{\frac{1}{2}}\right)^{\frac{1}{3}})+\left(-\frac{2}{3}\right)\ln(3)+2i\pi n_{6}\right)\ln(5)^{-1}\text{, }n_{6}\in \mathrm{Z}
x=\frac{1}{3}+\frac{1}{3}\left(4\ln(3)+3\ln(\left(-\frac{1}{36}\right)\left(i\times 3^{\frac{1}{2}}+1\right)\left(\left(-1\right)\left(-18+309^{\frac{1}{2}}\right)^{\frac{1}{3}}+\left(-i\right)\left(-18+309^{\frac{1}{2}}\right)^{\frac{1}{3}}\times 3^{\frac{1}{2}}+2\left(-18+\left(-1\right)\times 309^{\frac{1}{2}}\right)^{\frac{1}{3}}\right))+6i\pi n_{3}\right)\ln(5)^{-1}\text{, }n_{3}\in \mathrm{Z}
Graf
Aksje
Kopiert til utklippstavle
Eksempler
Kvadratisk ligning
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Lineær ligning
y = 3x + 4
Aritmetikk
699 * 533
Matrise
\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]
Samtidig formel
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensiering
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrasjon
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Grenser
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}