\left\{ \begin{array} { l } { y > x ^ { 2 } } \\ { y \leq x + 4 } \end{array} \right.
Solve for x
\left\{\begin{matrix}x\in (-\sqrt{y},\sqrt{y})\text{, }&y>0\text{ and }y\leq \frac{9-\sqrt{17}}{2}\\x\in [y-4,\sqrt{y})\text{, }&y>\frac{9-\sqrt{17}}{2}\text{ and }y<\frac{\sqrt{17}+9}{2}\end{matrix}\right.
Solve for y
y\in (x^{2},x+4]\text{, }x>\frac{1-\sqrt{17}}{2}\text{ and }x<\frac{\sqrt{17}+1}{2}
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}