f(x)=2x+1quadg(x)=5x^2+2x+1quad eching

$$f ( x ) = 2 x + 1 \quad g ( x ) = 5 x ^ { 2 } + 2 x + 1 \quad$$

g uchun yechish

$$g=5x+\frac{1}{x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 2x ni ayirish.

$$1gx=5x^{2}+2x+1-2x$$

0 ni olish uchun 2x va -2x ni birlashtirish.

$$1gx=5x^{2}+1$$

Shartlarni qayta saralash.

$$gx=5x^{2}+1$$

Tenglama standart shaklda.

$$xg=5x^{2}+1$$

Ikki tarafini x ga bo‘ling.

$$\frac{xg}{x}=\frac{5x^{2}+1}{x}$$

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

$$g=\frac{5x^{2}+1}{x}$$

5x^{2}+1 ni x ga bo'lish.

$$g=5x+\frac{1}{x}$$

x uchun yechish (complex solution)

$$x=\frac{-\sqrt{g^{2}-20}+g}{10}$$

$$x=\frac{\sqrt{g^{2}-20}+g}{10}$$

x uchun yechish

$$x=\frac{-\sqrt{g^{2}-20}+g}{10}$$

$$x=\frac{\sqrt{g^{2}-20}+g}{10}\text{, }|g|\geq 2\sqrt{5}$$