Réitigh do y.
\left\{\begin{matrix}y=\frac{5z}{3x^{2}}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.
Réitigh do x.
\left\{\begin{matrix}x=\frac{\sqrt{\frac{15z}{y}}}{3}\text{; }x=-\frac{\sqrt{\frac{15z}{y}}}{3}\text{, }&\left(z\geq 0\text{ and }y>0\right)\text{ or }\left(z\leq 0\text{ and }y<0\right)\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=0\end{matrix}\right.
Tráth na gCeist
Algebra
5 fadhbanna cosúil le:
6 x \div 10 x y = z
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{3}{5}xxy=z
Roinn 6x faoi 10 chun \frac{3}{5}x a fháil.
\frac{3}{5}x^{2}y=z
Méadaigh x agus x chun x^{2} a fháil.
\frac{3x^{2}}{5}y=z
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{5\times \frac{3x^{2}}{5}y}{3x^{2}}=\frac{5z}{3x^{2}}
Roinn an dá thaobh faoi \frac{3}{5}x^{2}.
y=\frac{5z}{3x^{2}}
Má roinntear é faoi \frac{3}{5}x^{2} cuirtear an iolrúchán faoi \frac{3}{5}x^{2} ar ceal.
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\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]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}