Whakaoti i te r=a(b+2t)

$$r = a ( b + 2 t )$$

Whakaoti mō a (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te a ki te b+2t.

$$r=ab+2at$$

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

$$ab+2at=r$$

Pahekotia ngā kīanga tau katoa e whai ana i te a.

$$\left(b+2t\right)a=r$$

He hanga arowhānui tō te whārite.

$$\left(2t+b\right)a=r$$

Whakawehea ngā taha e rua ki te b+2t.

$$\frac{\left(2t+b\right)a}{2t+b}=\frac{r}{2t+b}$$

Mā te whakawehe ki te b+2t ka wetekia te whakareanga ki te b+2t.

$$a=\frac{r}{2t+b}$$

Whakaoti mō b (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te a ki te b+2t.

$$r=ab+2at$$

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

$$ab+2at=r$$

Tangohia te 2at mai i ngā taha e rua.

$$ab=r-2at$$

Whakawehea ngā taha e rua ki te a.

$$\frac{ab}{a}=\frac{r-2at}{a}$$

Mā te whakawehe ki te a ka wetekia te whakareanga ki te a.

$$b=\frac{r-2at}{a}$$

Whakawehe r-2ta ki te a.

$$b=-2t+\frac{r}{a}$$

Whakaoti mō a

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te a ki te b+2t.

$$r=ab+2at$$

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

$$ab+2at=r$$

Pahekotia ngā kīanga tau katoa e whai ana i te a.

$$\left(b+2t\right)a=r$$

He hanga arowhānui tō te whārite.

$$\left(2t+b\right)a=r$$

Whakawehea ngā taha e rua ki te b+2t.

$$\frac{\left(2t+b\right)a}{2t+b}=\frac{r}{2t+b}$$

Mā te whakawehe ki te b+2t ka wetekia te whakareanga ki te b+2t.

$$a=\frac{r}{2t+b}$$

Whakaoti mō b

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te a ki te b+2t.

$$r=ab+2at$$

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

$$ab+2at=r$$

Tangohia te 2at mai i ngā taha e rua.

$$ab=r-2at$$

Whakawehea ngā taha e rua ki te a.

$$\frac{ab}{a}=\frac{r-2at}{a}$$

Mā te whakawehe ki te a ka wetekia te whakareanga ki te a.

$$b=\frac{r-2at}{a}$$

Whakawehe r-2ta ki te a.

$$b=-2t+\frac{r}{a}$$