c3x-x^2-2=0 eching

$$c 3 x - x ^ { 2 } - 2 = 0$$

c_3 uchun yechish

$$c_{3}=x+\frac{2}{x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x^{2} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$c_{3}x-2=x^{2}$$

2 ni ikki tarafga qo’shing.

$$c_{3}x=x^{2}+2$$

Tenglama standart shaklda.

$$xc_{3}=x^{2}+2$$

Ikki tarafini x ga bo‘ling.

$$\frac{xc_{3}}{x}=\frac{x^{2}+2}{x}$$

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

$$c_{3}=\frac{x^{2}+2}{x}$$

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

$$c_{3}=x+\frac{2}{x}$$

x uchun yechish (complex solution)

$$x=\frac{-\sqrt{c_{3}^{2}-8}+c_{3}}{2}$$

$$x=\frac{\sqrt{c_{3}^{2}-8}+c_{3}}{2}$$

x uchun yechish

$$x=\frac{-\sqrt{c_{3}^{2}-8}+c_{3}}{2}$$

$$x=\frac{\sqrt{c_{3}^{2}-8}+c_{3}}{2}\text{, }|c_{3}|\geq 2\sqrt{2}$$