Реши за x
\left\{\begin{matrix}\\x=1\text{, }&\text{unconditionally}\\x=0\text{, }&y>0\text{ and }z>0\\x=-1\text{, }&\left(Numerator(y)\text{bmod}2=1\text{ and }Denominator(y)\text{bmod}2=1\text{ and }Numerator(z)\text{bmod}2=1\text{ and }Denominator(z)\text{bmod}2=1\right)\text{ or }\left(Numerator(y)\text{bmod}2=0\text{ and }Numerator(z)\text{bmod}2=0\text{ and }Denominator(y)\text{bmod}2=1\text{ and }Denominator(z)\text{bmod}2=1\right)\\x>0\text{, }&y=z\\x<0\text{, }&z=y\text{ and }Denominator(y)\text{bmod}2=1\end{matrix}\right,
Реши за y
\left\{\begin{matrix}y=z\text{, }&\left(x<0\text{ and }Denominator(z)\text{bmod}2=1\right)\text{ or }\left(x=0\text{ and }z>0\right)\text{ or }x>0\\y\in \mathrm{R}\text{, }&\left(Numerator(y)\text{bmod}2=1\text{ and }Denominator(y)\text{bmod}2=1\text{ and }Numerator(z)\text{bmod}2=1\text{ and }Denominator(z)\text{bmod}2=1\text{ and }x=-1\right)\text{ or }\left(Numerator(y)\text{bmod}2=0\text{ and }Numerator(z)\text{bmod}2=0\text{ and }Denominator(z)\text{bmod}2=1\text{ and }x=-1\text{ and }Denominator(y)\text{bmod}2=1\right)\text{ or }x=1\\y>0\text{, }&x=0\text{ and }z>0\end{matrix}\right,
Сподели
Копирани во клипбордот
Примери
Квадратична равенка
{ x } ^ { 2 } - 4 x - 5 = 0
Тригонометрија
4 \sin \theta \cos \theta = 2 \sin \theta
Линеарна равенка
y = 3x + 4
Аритметика
699 * 533
Матрица.
\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]
Симултана равенка
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Диференцијација
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Интеграција
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ограничувања
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}