Whakaoti i te x^2=2py

$$x ^ { 2 } = 2 p y$$

Whakaoti mō p (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2py=x^{2}$$

He hanga arowhānui tō te whārite.

$$2yp=x^{2}$$

Whakawehea ngā taha e rua ki te 2y.

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

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

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

Whakaoti mō p

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2py=x^{2}$$

He hanga arowhānui tō te whārite.

$$2yp=x^{2}$$

Whakawehea ngā taha e rua ki te 2y.

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

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

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

Whakaoti mō x (complex solution)

$$x=-\sqrt{y}\sqrt{2p}$$

$$x=\sqrt{y}\sqrt{2p}$$

Whakaoti mō x

$$x=\sqrt{2py}$$

$$x=-\sqrt{2py}\text{, }\left(y\geq 0\text{ and }p\geq 0\right)\text{ or }\left(p\leq 0\text{ and }y\leq 0\right)$$