alpha=sqrt{k/c} eching

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

k uchun yechish

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

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

Ildizli tenglamalarni yechish qadamlari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

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

Tenglamaning ikkala taraf kvadratini chiqarish.

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

Ikki tarafini c^{-1} ga bo‘ling.

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

c^{-1} ga bo'lish c^{-1} ga ko'paytirishni bekor qiladi.

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

\alpha ^{2} ni c^{-1} ga bo'lish.

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

c uchun yechish (complex solution)

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

k uchun yechish (complex solution)

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

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

c uchun yechish

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