Resolver alpha=sqrt{k/c}

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

Resolver k

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

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

Pasos para resolver ecuacións radicais

Cambia de lado para que todos os termos variables estean no lado esquerdo.

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

Eleva ao cadrado ambos lados da ecuación.

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

Divide ambos lados entre c^{-1}.

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

A división entre c^{-1} desfai a multiplicación por c^{-1}.

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

Divide \alpha ^{2} entre c^{-1}.

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

Resolver c (complex solution)

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

Resolver k (complex solution)

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

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

Resolver c

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