f(x)=operatorname{ctg}x-sqrt{x} eching

$$f ( x ) = \operatorname { ctg } x - \sqrt { x }$$

f uchun yechish (complex solution)

$$f=\frac{i\left(i\sqrt{x}\sin(x)-i\cos(x)\right)}{x\sin(x)}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$xf=\cot(x)-\sqrt{x}$$

Ikki tarafini x ga bo‘ling.

$$\frac{xf}{x}=\frac{\cot(x)-\sqrt{x}}{x}$$

x ga bo'lish x ga ko'paytirishni bekor qiladi.

$$f=\frac{\cot(x)-\sqrt{x}}{x}$$

\cot(x)-\sqrt{x} ni x ga bo'lish.

$$f=x^{-\frac{1}{2}}\left(x^{-\frac{1}{2}}\cot(x)-1\right)$$

f uchun yechish

$$f=\frac{-\sqrt{x}\sin(x)+\cos(x)}{x\sin(x)}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }x\geq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$xf=\cot(x)-\sqrt{x}$$

Ikki tarafini x ga bo‘ling.

$$\frac{xf}{x}=\frac{\cot(x)-\sqrt{x}}{x}$$

x ga bo'lish x ga ko'paytirishni bekor qiladi.

$$f=\frac{\cot(x)-\sqrt{x}}{x}$$

\cot(x)-\sqrt{x} ni x ga bo'lish.

$$f=\frac{\frac{\cot(x)}{\sqrt{x}}-1}{\sqrt{x}}$$