Whakaoti i te y=sqrt{xy}

$$y= \sqrt{ xy }$$

Whakaoti mō x

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

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\sqrt{xy}=y$$

Pūruatia ngā taha e rua o te whārite.

$$yx=y^{2}$$

Whakawehea ngā taha e rua ki te y.

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

Mā te whakawehe ki te y ka wetekia te whakareanga ki te y.

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

Whakawehe y^{2} ki te y.

$$x=y$$

Whakaoti mō x (complex solution)

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

Whakaoti mō y (complex solution)

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

Whakaoti mō y

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