Réitigh do k. (complex solution)
\left\{\begin{matrix}k=\frac{y}{\left(\frac{m+1}{2m-3}\right)^{x}}\text{, }&\left(x=0\text{ or }m\neq -1\right)\text{ and }m\neq \frac{3}{2}\\k\in \mathrm{C}\text{, }&m=-1\text{ and }x\neq 0\text{ and }y=0\end{matrix}\right.
Réitigh do k.
\left\{\begin{matrix}k=\frac{y}{\left(\frac{m+1}{2m-3}\right)^{x}}\text{, }&\left(Denominator(x)\text{bmod}2=1\text{ and }m<\frac{3}{2}\text{ and }m>-1\right)\text{ or }m<-1\text{ or }m>\frac{3}{2}\\k\in \mathrm{R}\text{, }&y=0\text{ and }m=-1\text{ and }x>0\end{matrix}\right.
Roinn
Cóipeáladh go dtí an ghearrthaisce
\left(\frac{m+1}{2m-3}\right)^{x}k=y
Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.
\frac{\left(\frac{m+1}{2m-3}\right)^{x}k}{\left(\frac{m+1}{2m-3}\right)^{x}}=\frac{y}{\left(\frac{m+1}{2m-3}\right)^{x}}
Roinn an dá thaobh faoi \left(\left(m+1\right)\left(2m-3\right)^{-1}\right)^{x}.
k=\frac{y}{\left(\frac{m+1}{2m-3}\right)^{x}}
Má roinntear é faoi \left(\left(m+1\right)\left(2m-3\right)^{-1}\right)^{x} cuirtear an iolrúchán faoi \left(\left(m+1\right)\left(2m-3\right)^{-1}\right)^{x} ar ceal.
\left(\frac{m+1}{2m-3}\right)^{x}k=y
Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.
\frac{\left(\frac{m+1}{2m-3}\right)^{x}k}{\left(\frac{m+1}{2m-3}\right)^{x}}=\frac{y}{\left(\frac{m+1}{2m-3}\right)^{x}}
Roinn an dá thaobh faoi \left(\left(m+1\right)\left(2m-3\right)^{-1}\right)^{x}.
k=\frac{y}{\left(\frac{m+1}{2m-3}\right)^{x}}
Má roinntear é faoi \left(\left(m+1\right)\left(2m-3\right)^{-1}\right)^{x} cuirtear an iolrúchán faoi \left(\left(m+1\right)\left(2m-3\right)^{-1}\right)^{x} ar ceal.
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