Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{3\left(-12\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+428\left(\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+27\right)}+15}{30}\text{, }&y=\frac{12\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-428\left(\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+273}{300}\\x=\frac{-\sqrt{3\left(6\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+18\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+107\sqrt{3}\sin(\frac{2\arccos(\frac{534\sqrt{321}}{11449})}{3})+107\left(\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+321\left(\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+27\right)}+15}{30}\text{, }&y=\frac{\left(-3\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+21\right)\left(3\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+39\right)}{900}\\x=\frac{-\sqrt{3\left(6\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-18\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-107\sqrt{3}\sin(\frac{2\arccos(\frac{534\sqrt{321}}{11449})}{3})+107\left(\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+321\left(\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+27\right)}+15}{30}\text{, }&y=\frac{\left(3\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+21\right)\left(\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-3\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+39\right)}{900}\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=\frac{12\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-428\left(\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+273}{300}\text{, }&x=\frac{\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+3}{15}\\y=\frac{-107\left(\sqrt{3}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}-6\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-18\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+273}{300}\text{, }&x=\frac{\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})+2\pi }{3})+3}{15}\\y=\frac{-107\left(\sqrt{3}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})\right)^{2}+18\sqrt{107}\sin(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})-6\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})}{3})+273}{300}\text{, }&x=\frac{\sqrt{321}\cos(\frac{\arccos(\frac{534\sqrt{321}}{11449})+4\pi }{3})+3}{15}\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}