Nilaikan (complex solution)
|z+w|\leq |w|+|z|
Selesaikan untuk z
\left\{\begin{matrix}\\z\in (-\infty,0)\cup [\frac{-|w|-w}{2},\frac{|w|-w}{2}]\text{, }&\text{unconditionally}\\z\in [-w,\infty)\cup [\frac{-|w|-w}{2},\infty)\text{, }&w\leq 0\\z<-w\text{, }&w\geq 0\\z\in [\frac{-|w|-w}{2},-w)\text{, }&w<0\\z\geq 0\text{, }&w>0\end{matrix}\right.
Selesaikan untuk w
\left\{\begin{matrix}\\w\in [-z,\infty)\cup (-\infty,0)\text{, }&\text{unconditionally}\\w\in \mathrm{R}\text{, }&z<0\end{matrix}\right.
Kongsi
Disalin ke papan klip
Contoh
Persamaan kuadratik
{ 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}