Whakaoti i te alpha=sqrt{k/c}

$$\alpha = \sqrt { \frac { k } { c } }$$

Whakaoti mō k

$$k=c\alpha ^{2}$$

$$\alpha \geq 0\text{ and }c\neq 0$$

Ngā Upane mō te Whakaoti Whārite Pūtake

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

$$\sqrt{\frac{k}{c}}=\alpha$$

Pūruatia ngā taha e rua o te whārite.

$$\frac{1}{c}k=\alpha ^{2}$$

Whakawehea ngā taha e rua ki te c^{-1}.

$$\frac{\frac{1}{c}kc}{1}=\frac{\alpha ^{2}c}{1}$$

Mā te whakawehe ki te c^{-1} ka wetekia te whakareanga ki te c^{-1}.

$$k=\frac{\alpha ^{2}c}{1}$$

Whakawehe \alpha ^{2} ki te c^{-1}.

$$k=c\alpha ^{2}$$

Whakaoti mō c (complex solution)

$$\left\{\begin{matrix}c=\frac{k}{\alpha ^{2}}\text{, }&k\neq 0\text{ and }arg(\alpha )<\pi \text{ and }\alpha \neq 0\\c\neq 0\text{, }&\alpha =0\text{ and }k=0\end{matrix}\right.$$

Whakaoti mō k (complex solution)

$$k=c\alpha ^{2}$$

$$c\neq 0\text{ and }\left(\alpha =0\text{ or }arg(\alpha )<\pi \right)$$

Whakaoti mō c

$$\left\{\begin{matrix}c=\frac{k}{\alpha ^{2}}\text{, }&\alpha >0\text{ and }k\neq 0\\c\neq 0\text{, }&k=0\text{ and }\alpha =0\end{matrix}\right.$$