c d g - e g = \partial b
Réitigh do b. (complex solution)
\left\{\begin{matrix}b=\frac{g\left(cd-e\right)}{∂}\text{, }&∂\neq 0\\b\in \mathrm{C}\text{, }&\left(c=\frac{e}{d}\text{ and }d\neq 0\text{ and }∂=0\right)\text{ or }\left(g=0\text{ and }∂=0\right)\end{matrix}\right.
Réitigh do c. (complex solution)
\left\{\begin{matrix}c=\frac{b∂+eg}{dg}\text{, }&g\neq 0\text{ and }d\neq 0\\c\in \mathrm{C}\text{, }&\left(g=0\text{ and }∂=0\right)\text{ or }\left(g=0\text{ and }b=0\right)\text{ or }\left(g=-\frac{b∂}{e}\text{ and }d=0\text{ and }b\neq 0\text{ and }∂\neq 0\right)\end{matrix}\right.
Réitigh do b.
\left\{\begin{matrix}b=\frac{g\left(cd-e\right)}{∂}\text{, }&∂\neq 0\\b\in \mathrm{R}\text{, }&\left(c=\frac{e}{d}\text{ and }d\neq 0\text{ and }∂=0\right)\text{ or }\left(g=0\text{ and }∂=0\right)\end{matrix}\right.
Réitigh do c.
\left\{\begin{matrix}c=\frac{b∂+eg}{dg}\text{, }&g\neq 0\text{ and }d\neq 0\\c\in \mathrm{R}\text{, }&\left(g=0\text{ and }∂=0\right)\text{ or }\left(g=0\text{ and }b=0\right)\text{ or }\left(g=-\frac{b∂}{e}\text{ and }d=0\text{ and }b\neq 0\text{ and }∂\neq 0\right)\end{matrix}\right.
Roinn
Cóipeáladh go dtí an ghearrthaisce
∂b=cdg-eg
Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.
\frac{∂b}{∂}=\frac{g\left(cd-e\right)}{∂}
Roinn an dá thaobh faoi ∂.
b=\frac{g\left(cd-e\right)}{∂}
Má roinntear é faoi ∂ cuirtear an iolrúchán faoi ∂ ar ceal.
cdg=∂b+eg
Cuir eg leis an dá thaobh.
dgc=b∂+eg
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{dgc}{dg}=\frac{b∂+eg}{dg}
Roinn an dá thaobh faoi dg.
c=\frac{b∂+eg}{dg}
Má roinntear é faoi dg cuirtear an iolrúchán faoi dg ar ceal.
∂b=cdg-eg
Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.
\frac{∂b}{∂}=\frac{g\left(cd-e\right)}{∂}
Roinn an dá thaobh faoi ∂.
b=\frac{g\left(cd-e\right)}{∂}
Má roinntear é faoi ∂ cuirtear an iolrúchán faoi ∂ ar ceal.
cdg=∂b+eg
Cuir eg leis an dá thaobh.
dgc=b∂+eg
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{dgc}{dg}=\frac{b∂+eg}{dg}
Roinn an dá thaobh faoi dg.
c=\frac{b∂+eg}{dg}
Má roinntear é faoi dg cuirtear an iolrúchán faoi dg ar ceal.
Samplaí
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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}