Whakaoti i te x=frac{sqrt{a+bx}}{t}

$$x = \frac { \sqrt { a + b x } } { t }$$

Whakaoti mō a

$$a=x\left(xt^{2}-b\right)$$

$$\left(x\leq 0\text{ and }t<0\right)\text{ or }\left(x\geq 0\text{ and }t>0\right)$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakareatia ngā taha e rua o te whārite ki te t.

$$xt=\sqrt{a+bx}$$

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

$$\sqrt{a+bx}=xt$$

Pūruatia ngā taha e rua o te whārite.

$$a+bx=t^{2}x^{2}$$

Me tango bx mai i ngā taha e rua o te whārite.

$$a+bx-bx=t^{2}x^{2}-bx$$

Mā te tango i te bx i a ia ake anō ka toe ko te 0.

$$a=t^{2}x^{2}-bx$$

Tango bx mai i x^{2}t^{2}.

$$a=x\left(xt^{2}-b\right)$$

Whakaoti mō b

$$\left\{\begin{matrix}b=\frac{\left(tx\right)^{2}-a}{x}\text{, }&\left(x<0\text{ and }t<0\right)\text{ or }\left(x>0\text{ and }t>0\right)\\b\in \mathrm{R}\text{, }&x=0\text{ and }a=0\text{ and }t\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakareatia ngā taha e rua o te whārite ki te t.

$$xt=\sqrt{a+bx}$$

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

$$\sqrt{a+bx}=xt$$

Pūruatia ngā taha e rua o te whārite.

$$xb+a=t^{2}x^{2}$$

Me tango a mai i ngā taha e rua o te whārite.

$$xb+a-a=t^{2}x^{2}-a$$

Mā te tango i te a i a ia ake anō ka toe ko te 0.

$$xb=t^{2}x^{2}-a$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xb}{x}=\frac{t^{2}x^{2}-a}{x}$$

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

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

Whakawehe x^{2}t^{2}-a ki te x.

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

Whakaoti mō a (complex solution)

$$a=x\left(xt^{2}-b\right)$$

$$\left(x=0\text{ or }arg(tx)<\pi \right)\text{ and }t\neq 0$$

Whakaoti mō b (complex solution)

$$\left\{\begin{matrix}b=\frac{\left(tx\right)^{2}-a}{x}\text{, }&arg(tx)<\pi \text{ and }t\neq 0\text{ and }x\neq 0\\b\in \mathrm{C}\text{, }&a=0\text{ and }x=0\text{ and }t\neq 0\end{matrix}\right.$$