Riešenie pre y (complex solution)
y=-\frac{\sqrt{2}i\sqrt{2\left(x^{2}-8\right)}\left(\cos(x)\right)^{-\frac{1}{2}}}{2}
y=\frac{\sqrt{2}i\sqrt{2\left(x^{2}-8\right)}\left(\cos(x)\right)^{-\frac{1}{2}}}{2}\text{, }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}
Riešenie pre y
y=\sqrt{-\frac{x^{2}-8}{\cos(x)}}
y=-\sqrt{-\frac{x^{2}-8}{\cos(x)}}\text{, }\left(x>-\frac{3\pi }{2}\text{ and }x\leq -2\sqrt{2}\right)\text{ or }\left(x\geq 2\sqrt{2}\text{ and }x<\frac{3\pi }{2}\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\left(x>2\pi n_{2}+\frac{\pi }{2}\text{ and }x<2\pi n_{2}+\frac{3\pi }{2}\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\right)
Zdieľať
Skopírované do schránky
Príklady
Kvadratická rovnica
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometria
4 \sin \theta \cos \theta = 2 \sin \theta
Lineárna rovnica
y = 3x + 4
Aritmetické úlohy
699 * 533
Matica
\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]
Simultánna rovnica
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferenciálne rovnice
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrácia
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limity
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}