Selesaikan untuk x (complex solution)
x=e^{\left(-2i\right)\ln(iy+\left(\left(-1\right)y^{2}+1\right)^{\frac{1}{2}})+4\pi n_{1}}\text{, }n_{1}\in \mathrm{Z}\text{, }Im(\ln(e^{\left(-i\right)\ln(iy+\left(\left(-1\right)y^{2}+1\right)^{\frac{1}{2}})+2\pi n_{1}}))+Re(\ln(iy+\left(1+\left(-1\right)y^{2}\right)^{\frac{1}{2}}))=0
x=e^{\left(-2i\right)\ln(iy+\left(-1\right)\left(\left(-1\right)y^{2}+1\right)^{\frac{1}{2}})+4\pi n_{2}}\text{, }n_{2}\in \mathrm{Z}\text{, }Im(\ln(e^{\left(-i\right)\ln(iy+\left(-1\right)\left(\left(-1\right)y^{2}+1\right)^{\frac{1}{2}})+2\pi n_{2}}))+Re(\ln(iy+\left(-1\right)\left(1+\left(-1\right)y^{2}\right)^{\frac{1}{2}}))=0
Selesaikan untuk y (complex solution)
y=\sin(\ln(\sqrt{x}))
x\neq 0
Selesaikan untuk x
x=\left(e^{-\arcsin(y)+2\pi n_{1}+\pi }\right)^{2}\text{, }n_{1}\in \mathrm{Z}
x=\left(e^{\arcsin(y)+2\pi n_{2}}\right)^{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|y|\leq 1
Selesaikan untuk y
y=\sin(\frac{\ln(x)}{2})
x>0
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Contoh
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Persamaan linear
y = 3x + 4
Aritmetik
699 * 533
Matriks
\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]
Persamaan serentak
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Pembezaan
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Pengamiran
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Had
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}