Whakaoti i te x^y-dx-k=0

$$x ^ { y } - d x - k = 0$$

Whakaoti mō d (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x^{y} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-dx-k=-x^{y}$$

Me tāpiri te k ki ngā taha e rua.

$$-dx=-x^{y}+k$$

He hanga arowhānui tō te whārite.

$$\left(-x\right)d=k-x^{y}$$

Whakawehea ngā taha e rua ki te -x.

$$\frac{\left(-x\right)d}{-x}=\frac{k-x^{y}}{-x}$$

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

$$d=\frac{k-x^{y}}{-x}$$

Whakawehe k-x^{y} ki te -x.

$$d=-\frac{k-x^{y}}{x}$$

Whakaoti mō k (complex solution)

$$k=x^{y}-dx$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x^{y} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-dx-k=-x^{y}$$

Me tāpiri te dx ki ngā taha e rua.

$$-k=-x^{y}+dx$$

He hanga arowhānui tō te whārite.

$$-k=dx-x^{y}$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-k}{-1}=\frac{dx-x^{y}}{-1}$$

Mā te whakawehe ki te -1 ka wetekia te whakareanga ki te -1.

$$k=\frac{dx-x^{y}}{-1}$$

Whakawehe -x^{y}+dx ki te -1.

$$k=x^{y}-dx$$

Whakaoti mō d

$$\left\{\begin{matrix}d=\frac{x^{y}-k}{x}\text{, }&x>0\text{ or }\left(Denominator(y)\text{bmod}2=1\text{ and }x<0\right)\\d\in \mathrm{R}\text{, }&x=0\text{ and }k=0\text{ and }y>0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x^{y} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-dx-k=-x^{y}$$

Me tāpiri te k ki ngā taha e rua.

$$-dx=-x^{y}+k$$

He hanga arowhānui tō te whārite.

$$\left(-x\right)d=k-x^{y}$$

Whakawehea ngā taha e rua ki te -x.

$$\frac{\left(-x\right)d}{-x}=\frac{k-x^{y}}{-x}$$

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

$$d=\frac{k-x^{y}}{-x}$$

Whakawehe k-x^{y} ki te -x.

$$d=-\frac{k-x^{y}}{x}$$

Whakaoti mō k

$$k=x^{y}-dx$$

$$\left(x<0\text{ and }Denominator(y)\text{bmod}2=1\right)\text{ or }\left(x=0\text{ and }y>0\right)\text{ or }x>0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x^{y} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-dx-k=-x^{y}$$

Me tāpiri te dx ki ngā taha e rua.

$$-k=-x^{y}+dx$$

He hanga arowhānui tō te whārite.

$$-k=dx-x^{y}$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-k}{-1}=\frac{dx-x^{y}}{-1}$$

Mā te whakawehe ki te -1 ka wetekia te whakareanga ki te -1.

$$k=\frac{dx-x^{y}}{-1}$$

Whakawehe -x^{y}+dx ki te -1.

$$k=x^{y}-dx$$