f(x)-g(x)=0 eching

$$f ( x ) - g ( x ) = 0$$

f uchun yechish (complex solution)

$$\left\{\begin{matrix}\\f=g\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

gx ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$fx=gx$$

Tenglama standart shaklda.

$$xf=gx$$

Ikki tarafini x ga bo‘ling.

$$\frac{xf}{x}=\frac{gx}{x}$$

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

$$f=\frac{gx}{x}$$

gx ni x ga bo'lish.

$$f=g$$

g uchun yechish (complex solution)

$$\left\{\begin{matrix}\\g=f\text{, }&\text{unconditionally}\\g\in \mathrm{C}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan fx ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-gx=-fx$$

-1ni ikki tarafidan bekor qilish.

$$gx=fx$$

Tenglama standart shaklda.

$$xg=fx$$

Ikki tarafini x ga bo‘ling.

$$\frac{xg}{x}=\frac{fx}{x}$$

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

$$g=\frac{fx}{x}$$

fx ni x ga bo'lish.

$$g=f$$

f uchun yechish

$$\left\{\begin{matrix}\\f=g\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

gx ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$fx=gx$$

Tenglama standart shaklda.

$$xf=gx$$

Ikki tarafini x ga bo‘ling.

$$\frac{xf}{x}=\frac{gx}{x}$$

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

$$f=\frac{gx}{x}$$

gx ni x ga bo'lish.

$$f=g$$

g uchun yechish

$$\left\{\begin{matrix}\\g=f\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan fx ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-gx=-fx$$

-1ni ikki tarafidan bekor qilish.

$$gx=fx$$

Tenglama standart shaklda.

$$xg=fx$$

Ikki tarafini x ga bo‘ling.

$$\frac{xg}{x}=\frac{fx}{x}$$

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

$$g=\frac{fx}{x}$$

fx ni x ga bo'lish.

$$g=f$$