Whakaoti i te x=2xy

$$x=2xy$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=\frac{1}{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2xy mai i ngā taha e rua.

$$x-2xy=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(1-2y\right)x=0$$

Whakawehe 0 ki te 1-2y.

$$x=0$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}\\y=\frac{1}{2}\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2xy=x$$

Whakawehea ngā taha e rua ki te 2x.

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

Mā te whakawehe ki te 2x ka wetekia te whakareanga ki te 2x.

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

Whakawehe x ki te 2x.

$$y=\frac{1}{2}$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=\frac{1}{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2xy mai i ngā taha e rua.

$$x-2xy=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(1-2y\right)x=0$$

Whakawehe 0 ki te 1-2y.

$$x=0$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=\frac{1}{2}\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2xy=x$$

Whakawehea ngā taha e rua ki te 2x.

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

Mā te whakawehe ki te 2x ka wetekia te whakareanga ki te 2x.

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

Whakawehe x ki te 2x.

$$y=\frac{1}{2}$$