Whakaoti i te x=sqrt{xy}

$$x = \sqrt { x y }$$

Whakaoti mō y

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

Ngā Upane mō te Whakaoti Whārite Pūtake

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

$$\sqrt{xy}=x$$

Pūruatia ngā taha e rua o te whārite.

$$xy=x^{2}$$

Whakawehea ngā taha e rua ki te x.

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

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

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

Whakawehe x^{2} ki te x.

$$y=x$$

Whakaoti mō x (complex solution)

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

Whakaoti mō y (complex solution)

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

Whakaoti mō x

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