Whakaoti i te y=ax^2+b+c

$$y = a x ^ { 2 } + b + c$$

Whakaoti mō a (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$ax^{2}+b+c=y$$

Tangohia te b mai i ngā taha e rua.

$$ax^{2}+c=y-b$$

Tangohia te c mai i ngā taha e rua.

$$ax^{2}=y-b-c$$

He hanga arowhānui tō te whārite.

$$x^{2}a=y-b-c$$

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

$$\frac{x^{2}a}{x^{2}}=\frac{y-b-c}{x^{2}}$$

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

$$a=\frac{y-b-c}{x^{2}}$$

Whakaoti mō a

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$ax^{2}+b+c=y$$

Tangohia te b mai i ngā taha e rua.

$$ax^{2}+c=y-b$$

Tangohia te c mai i ngā taha e rua.

$$ax^{2}=y-b-c$$

He hanga arowhānui tō te whārite.

$$x^{2}a=y-b-c$$

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

$$\frac{x^{2}a}{x^{2}}=\frac{y-b-c}{x^{2}}$$

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

$$a=\frac{y-b-c}{x^{2}}$$

Whakaoti mō b

$$b=-ax^{2}+y-c$$