Whakaoti i te y=-1/8x^2quadE

$$y = - \frac { 1 } { 8 } x ^ { 2 } \quad E$$

Whakaoti mō E (complex solution)

$$\left\{\begin{matrix}E=-\frac{8y}{x^{2}}\text{, }&x\neq 0\\E\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$-\frac{1}{8}x^{2}E=y$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{x^{2}}{8}\right)E=y$$

Whakawehea ngā taha e rua ki te -\frac{1}{8}x^{2}.

$$\frac{\left(-\frac{x^{2}}{8}\right)E}{-\frac{x^{2}}{8}}=\frac{y}{-\frac{x^{2}}{8}}$$

Mā te whakawehe ki te -\frac{1}{8}x^{2} ka wetekia te whakareanga ki te -\frac{1}{8}x^{2}.

$$E=\frac{y}{-\frac{x^{2}}{8}}$$

Whakawehe y ki te -\frac{1}{8}x^{2}.

$$E=-\frac{8y}{x^{2}}$$

Whakaoti mō E

$$\left\{\begin{matrix}E=-\frac{8y}{x^{2}}\text{, }&x\neq 0\\E\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$-\frac{1}{8}x^{2}E=y$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{x^{2}}{8}\right)E=y$$

Whakawehea ngā taha e rua ki te -\frac{1}{8}x^{2}.

$$\frac{\left(-\frac{x^{2}}{8}\right)E}{-\frac{x^{2}}{8}}=\frac{y}{-\frac{x^{2}}{8}}$$

Mā te whakawehe ki te -\frac{1}{8}x^{2} ka wetekia te whakareanga ki te -\frac{1}{8}x^{2}.

$$E=\frac{y}{-\frac{x^{2}}{8}}$$

Whakawehe y ki te -\frac{1}{8}x^{2}.

$$E=-\frac{8y}{x^{2}}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-2iE^{-\frac{1}{2}}\sqrt{2y}\text{; }x=2iE^{-\frac{1}{2}}\sqrt{2y}\text{, }&E\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }E=0\end{matrix}\right.$$

Whakaoti mō x

$$\left\{\begin{matrix}x=2\sqrt{-\frac{2y}{E}}\text{; }x=-2\sqrt{-\frac{2y}{E}}\text{, }&\left(E>0\text{ and }y\leq 0\right)\text{ or }\left(y\geq 0\text{ and }E<0\right)\\x\in \mathrm{R}\text{, }&y=0\text{ and }E=0\end{matrix}\right.$$