x^3-mx^2+3x-2=0 eching

$$x ^ { 3 } - m x ^ { 2 } + 3 x - 2 = 0$$

m uchun yechish

$$m=\frac{x^{3}+3x-2}{x^{2}}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 3x ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

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

2 ni ikki tarafga qo’shing.

$$x^{3}-mx^{2}=-3x+2$$

Ikkala tarafdan x^{3} ni ayirish.

$$-mx^{2}=-3x+2-x^{3}$$

Tenglama standart shaklda.

$$\left(-x^{2}\right)m=2-3x-x^{3}$$

Ikki tarafini -x^{2} ga bo‘ling.

$$\frac{\left(-x^{2}\right)m}{-x^{2}}=\frac{2-3x-x^{3}}{-x^{2}}$$

-x^{2} ga bo'lish -x^{2} ga ko'paytirishni bekor qiladi.

$$m=\frac{2-3x-x^{3}}{-x^{2}}$$

-3x+2-x^{3} ni -x^{2} ga bo'lish.

$$m=x+\frac{3x-2}{x^{2}}$$