n=2pisqrt{k/x} eching

$$n = 2 \pi \sqrt { \frac { k } { x } }$$

k uchun yechish

$$k=\frac{x\times \left(\frac{n}{\pi }\right)^{2}}{4}$$

$$n\geq 0\text{ and }x\neq 0$$

Ildizli tenglamalarni yechish qadamlari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2\pi \sqrt{\frac{k}{x}}=n$$

Ikki tarafini 2\pi ga bo‘ling.

$$\frac{2\pi \sqrt{\frac{1}{x}k}}{2\pi }=\frac{n}{2\pi }$$

2\pi ga bo'lish 2\pi ga ko'paytirishni bekor qiladi.

$$\sqrt{\frac{1}{x}k}=\frac{n}{2\pi }$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$\frac{1}{x}k=\frac{n^{2}}{4\pi ^{2}}$$

Ikki tarafini x^{-1} ga bo‘ling.

$$\frac{\frac{1}{x}kx}{1}=\frac{n^{2}}{4\pi ^{2}\times \frac{1}{x}}$$

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

$$k=\frac{n^{2}}{4\pi ^{2}\times \frac{1}{x}}$$

\frac{n^{2}}{4\pi ^{2}} ni x^{-1} ga bo'lish.

$$k=\frac{xn^{2}}{4\pi ^{2}}$$

k uchun yechish (complex solution)

$$k=\frac{x\times \left(\frac{n}{\pi }\right)^{2}}{4}$$

$$x\neq 0\text{ and }\left(n=0\text{ or }|\frac{arg(n^{2})}{2}-arg(n)|<\pi \right)$$

n uchun yechish (complex solution)

$$n=2\pi \sqrt{\frac{k}{x}}$$

$$x\neq 0$$

n uchun yechish

$$n=2\pi \sqrt{\frac{k}{x}}$$

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