Solve for x
\left\{\begin{matrix}x\in \begin{bmatrix}-\sqrt{21-4X},\sqrt{21-4X}\end{bmatrix}\text{, }&X<-5\text{ or }\left(X>2\text{ and }X\leq \frac{21}{4}\right)\\x=-\sqrt{21-4X}\text{; }x=\sqrt{21-4X}\text{, }&X>2\text{ and }X\leq \frac{21}{4}\end{matrix}\right.
Solve for X
\left\{\begin{matrix}X\in [\frac{21-x^{2}}{4},2)\text{, }&(x>-\sqrt{41}\text{ and }x<-\sqrt{13})\text{ or }(x>\sqrt{13}\text{ and }x<\sqrt{41})\\X\in (-5,2)\cup (-\infty,\frac{21-x^{2}}{4}]\text{, }&|x|>\sqrt{41}\\X=\frac{21-x^{2}}{4}\text{, }&|x|\neq \sqrt{13}\text{ and }|x|\neq \sqrt{41}\\X\in (2,\frac{21-x^{2}}{4}]\text{, }&|x|<\sqrt{13}\\X<-5\text{, }&|x|\leq \sqrt{41}\end{matrix}\right.
Graph
Share
Copied to clipboard
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}