Réitigh y=sqrt{xy}

$$y= \sqrt{ xy }$$

Réitigh do x.

$$\left\{\begin{matrix}x=y\text{, }&y\geq 0\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Céimeanna chun cothromóidí fréimhe a réiteach

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$\sqrt{xy}=y$$

Cearnaigh an dá thaobh den chothromóid.

$$yx=y^{2}$$

Roinn an dá thaobh faoi y.

$$\frac{yx}{y}=\frac{y^{2}}{y}$$

Má roinntear é faoi y cuirtear an iolrúchán faoi y ar ceal.

$$x=\frac{y^{2}}{y}$$

Roinn y^{2} faoi y.

$$x=y$$

Réitigh do x. (complex solution)

$$\left\{\begin{matrix}x=y\text{, }&arg(y)<\pi \text{ or }y=0\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Réitigh do y. (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=x\text{, }&arg(x)<\pi \text{ or }x=0\end{matrix}\right.$$

Réitigh do y.

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=x\text{, }&x\geq 0\end{matrix}\right.$$