Whakaoti i te xy*6=yyy

$$xy \times 6=yyy$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=\frac{y^{2}}{6}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te y ki te y, ka y^{2}.

$$xy\times 6=y^{2}y$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$xy\times 6=y^{3}$$

He hanga arowhānui tō te whārite.

$$6yx=y^{3}$$

Whakawehea ngā taha e rua ki te 6y.

$$\frac{6yx}{6y}=\frac{y^{3}}{6y}$$

Mā te whakawehe ki te 6y ka wetekia te whakareanga ki te 6y.

$$x=\frac{y^{3}}{6y}$$

Whakawehe y^{3} ki te 6y.

$$x=\frac{y^{2}}{6}$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=\frac{y^{2}}{6}\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te y ki te y, ka y^{2}.

$$xy\times 6=y^{2}y$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$xy\times 6=y^{3}$$

He hanga arowhānui tō te whārite.

$$6yx=y^{3}$$

Whakawehea ngā taha e rua ki te 6y.

$$\frac{6yx}{6y}=\frac{y^{3}}{6y}$$

Mā te whakawehe ki te 6y ka wetekia te whakareanga ki te 6y.

$$x=\frac{y^{3}}{6y}$$

Whakawehe y^{3} ki te 6y.

$$x=\frac{y^{2}}{6}$$

Whakaoti mō y (complex solution)

$$y=\sqrt{6x}$$

$$y=0$$

$$y=-\sqrt{6x}$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=\sqrt{6x}\text{; }y=-\sqrt{6x}\text{, }&x\geq 0\end{matrix}\right.$$