Whakaoti i te y=n(1^n-1x)+1-n(1^n-1)

$$y = n ( 1 ^ { n - 1 } x ) + 1 - n ( 1 ^ { n - 1 } )$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=\frac{y+n-1}{n}\text{, }&n\neq 0\\x\in \mathrm{C}\text{, }&y=1\text{ and }n=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$n\times 1^{n-1}x+1-n\times 1^{n-1}=y$$

Me tāpiri te n\times 1^{n-1} ki ngā taha e rua.

$$n\times 1^{n-1}x+1=y+n\times 1^{n-1}$$

Tangohia te 1 mai i ngā taha e rua.

$$n\times 1^{n-1}x=y+n\times 1^{n-1}-1$$

He hanga arowhānui tō te whārite.

$$nx=y+n-1$$

Whakawehea ngā taha e rua ki te n.

$$\frac{nx}{n}=\frac{y+n-1}{n}$$

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

$$x=\frac{y+n-1}{n}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\frac{y+n-1}{n}\text{, }&n\neq 0\\x\in \mathrm{R}\text{, }&y=1\text{ and }n=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$n\times 1^{n-1}x+1-n\times 1^{n-1}=y$$

Me tāpiri te n\times 1^{n-1} ki ngā taha e rua.

$$n\times 1^{n-1}x+1=y+n\times 1^{n-1}$$

Tangohia te 1 mai i ngā taha e rua.

$$n\times 1^{n-1}x=y+n\times 1^{n-1}-1$$

He hanga arowhānui tō te whārite.

$$nx=y+n-1$$

Whakawehea ngā taha e rua ki te n.

$$\frac{nx}{n}=\frac{y+n-1}{n}$$

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

$$x=\frac{y+n-1}{n}$$

Whakaoti mō n (complex solution)

$$\left\{\begin{matrix}n=-\frac{1-y}{x-1}\text{, }&x\neq 1\\n\in \mathrm{C}\text{, }&y=1\text{ and }x=1\end{matrix}\right.$$

Whakaoti mō n

$$\left\{\begin{matrix}n=-\frac{1-y}{x-1}\text{, }&x\neq 1\\n\in \mathrm{R}\text{, }&y=1\text{ and }x=1\end{matrix}\right.$$