Whakaoti i te x=50x75100x

$$x = 50x75100x$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&x_{75100}=\frac{1}{50}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 50x_{75100}x mai i ngā taha e rua.

$$x-50x_{75100}x=0$$

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

$$\left(1-50x_{75100}\right)x=0$$

Whakawehe 0 ki te 1-50x_{75100}.

$$x=0$$

Whakaoti mō x_75100 (complex solution)

$$\left\{\begin{matrix}\\x_{75100}=\frac{1}{50}\text{, }&\text{unconditionally}\\x_{75100}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$50x_{75100}x=x$$

He hanga arowhānui tō te whārite.

$$50xx_{75100}=x$$

Whakawehea ngā taha e rua ki te 50x.

$$\frac{50xx_{75100}}{50x}=\frac{x}{50x}$$

Mā te whakawehe ki te 50x ka wetekia te whakareanga ki te 50x.

$$x_{75100}=\frac{x}{50x}$$

Whakawehe x ki te 50x.

$$x_{75100}=\frac{1}{50}$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&x_{75100}=\frac{1}{50}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 50x_{75100}x mai i ngā taha e rua.

$$x-50x_{75100}x=0$$

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

$$\left(1-50x_{75100}\right)x=0$$

Whakawehe 0 ki te 1-50x_{75100}.

$$x=0$$

Whakaoti mō x_75100

$$\left\{\begin{matrix}\\x_{75100}=\frac{1}{50}\text{, }&\text{unconditionally}\\x_{75100}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$50x_{75100}x=x$$

He hanga arowhānui tō te whārite.

$$50xx_{75100}=x$$

Whakawehea ngā taha e rua ki te 50x.

$$\frac{50xx_{75100}}{50x}=\frac{x}{50x}$$

Mā te whakawehe ki te 50x ka wetekia te whakareanga ki te 50x.

$$x_{75100}=\frac{x}{50x}$$

Whakawehe x ki te 50x.

$$x_{75100}=\frac{1}{50}$$