Lahenda väärtuse x leidmiseks
\left\{\begin{matrix}x\leq \frac{2m}{m-2}\text{, }&|m|\geq 2\text{ and }m\neq 2\\x\geq \frac{2m}{m-2}\text{, }&m\neq 2\text{ and }|m|\leq 2\\x\in \mathrm{R}\text{, }&|m|=2\\x=\frac{2m}{m-2}\text{, }&m\neq 2\end{matrix}\right,
Lahenda väärtuse m leidmiseks
\left\{\begin{matrix}m\in (-\infty,\frac{2(|x-1|+1)}{x-2}]\cup [-\frac{2(|x-1|-1)}{x-2},\infty)\text{, }&x<2\\m\in [-\frac{2(|x-1|-1)}{x-2},\frac{2(|x-1|+1)}{x-2}]\text{, }&x=1\text{ or }x>2\\m\in [-2,\frac{2(|x-1|+1)}{x-2}]\text{, }&x>2\text{ or }x\leq 1\\m=\frac{2x}{x-2}\text{, }&x=1\\m\geq -2\text{, }&x\geq 1\text{ and }x\leq 2\end{matrix}\right,
Graafik
Jagama
Lõikelauale kopeeritud
Näited
Ruutvõrrand
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonomeetria
4 \sin \theta \cos \theta = 2 \sin \theta
Lineaarne võrrand
y = 3x + 4
Aritmeetika
699 * 533
Matrix
\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]
Samaaegne võrrand
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferentseerimine
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integratsioon
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Piirid
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}