Whakaoti i te y=Ax^2+40

$$y = A x ^ { 2 } + 40$$

Whakaoti mō A (complex solution)

$$\left\{\begin{matrix}A=\frac{y-40}{x^{2}}\text{, }&x\neq 0\\A\in \mathrm{C}\text{, }&y=40\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$Ax^{2}+40=y$$

Tangohia te 40 mai i ngā taha e rua.

$$Ax^{2}=y-40$$

He hanga arowhānui tō te whārite.

$$x^{2}A=y-40$$

Whakawehea ngā taha e rua ki te x^{2}.

$$\frac{x^{2}A}{x^{2}}=\frac{y-40}{x^{2}}$$

Mā te whakawehe ki te x^{2} ka wetekia te whakareanga ki te x^{2}.

$$A=\frac{y-40}{x^{2}}$$

Whakaoti mō A

$$\left\{\begin{matrix}A=\frac{y-40}{x^{2}}\text{, }&x\neq 0\\A\in \mathrm{R}\text{, }&y=40\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$Ax^{2}+40=y$$

Tangohia te 40 mai i ngā taha e rua.

$$Ax^{2}=y-40$$

He hanga arowhānui tō te whārite.

$$x^{2}A=y-40$$

Whakawehea ngā taha e rua ki te x^{2}.

$$\frac{x^{2}A}{x^{2}}=\frac{y-40}{x^{2}}$$

Mā te whakawehe ki te x^{2} ka wetekia te whakareanga ki te x^{2}.

$$A=\frac{y-40}{x^{2}}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-A^{-\frac{1}{2}}\sqrt{y-40}\text{; }x=A^{-\frac{1}{2}}\sqrt{y-40}\text{, }&A\neq 0\\x\in \mathrm{C}\text{, }&y=40\text{ and }A=0\end{matrix}\right.$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\sqrt{\frac{y-40}{A}}\text{; }x=-\sqrt{\frac{y-40}{A}}\text{, }&\left(y\geq 40\text{ and }A>0\right)\text{ or }\left(y\leq 40\text{ and }A<0\right)\\x\in \mathrm{R}\text{, }&y=40\text{ and }A=0\end{matrix}\right.$$