Selesaikan untuk x
\left\{\begin{matrix}x\in \begin{bmatrix}-\sqrt{4y^{2}+8y+С}+2y+2,\sqrt{4y^{2}+8y+С}+2y+2\end{bmatrix}\text{, }&С>-4\left(y+1\right)^{2}\\x=2\left(y+1\right)\text{, }&С\geq -4\left(y+1\right)^{2}\end{matrix}\right.
Selesaikan untuk y
\left\{\begin{matrix}y\geq \frac{x}{4}+\frac{С}{2x}-1\text{, }&x>0\\y\in \mathrm{R}\text{, }&С\leq 0\text{ and }x=0\\y=\frac{x}{4}+\frac{С}{2x}-1\text{, }&С\leq 0\text{ or }x\neq 0\\y\leq \frac{x}{4}+\frac{С}{2x}-1\text{, }&x<0\end{matrix}\right.
Kongsi
Disalin ke papan klip
Contoh
Persamaan kuadratik
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Persamaan linear
y = 3x + 4
Aritmetik
699 * 533
Matriks
\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]
Persamaan serentak
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Pembezaan
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Pengamiran
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Had
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}