Whakaoti i te q=a^3b:a,b

$$q = a ^ { 3 } b : a , b$$

Whakaoti mō b

$$b=\frac{q}{a^{2}}$$

$$a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$qa=a^{3}b$$

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

$$a^{3}b=qa$$

He hanga arowhānui tō te whārite.

$$a^{3}b=aq$$

Whakawehea ngā taha e rua ki te a^{3}.

$$\frac{a^{3}b}{a^{3}}=\frac{aq}{a^{3}}$$

Mā te whakawehe ki te a^{3} ka wetekia te whakareanga ki te a^{3}.

$$b=\frac{aq}{a^{3}}$$

Whakawehe qa ki te a^{3}.

$$b=\frac{q}{a^{2}}$$

Whakaoti mō a (complex solution)

$$\left\{\begin{matrix}a=-b^{-\frac{1}{2}}\sqrt{q}\text{; }a=b^{-\frac{1}{2}}\sqrt{q}\text{, }&b\neq 0\text{ and }q\neq 0\\a\neq 0\text{, }&q=0\text{ and }b=0\end{matrix}\right.$$

Whakaoti mō a

$$\left\{\begin{matrix}a=\sqrt{\frac{q}{b}}\text{; }a=-\sqrt{\frac{q}{b}}\text{, }&\left(b<0\text{ and }q<0\right)\text{ or }\left(b>0\text{ and }q>0\right)\\a\neq 0\text{, }&q=0\text{ and }b=0\end{matrix}\right.$$