x^2-mx+21=0 eching

$$x ^ { 2 } - m x + 21 = 0$$

m uchun yechish

$$m=x+\frac{21}{x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-mx+21=-x^{2}$$

Ikkala tarafdan 21 ni ayirish.

$$-mx=-x^{2}-21$$

Tenglama standart shaklda.

$$\left(-x\right)m=-x^{2}-21$$

Ikki tarafini -x ga bo‘ling.

$$\frac{\left(-x\right)m}{-x}=\frac{-x^{2}-21}{-x}$$

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

$$m=\frac{-x^{2}-21}{-x}$$

-x^{2}-21 ni -x ga bo'lish.

$$m=x+\frac{21}{x}$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{m^{2}-84}+m}{2}$$

$$x=\frac{-\sqrt{m^{2}-84}+m}{2}$$

x uchun yechish

$$x=\frac{\sqrt{m^{2}-84}+m}{2}$$

$$x=\frac{-\sqrt{m^{2}-84}+m}{2}\text{, }|m|\geq 2\sqrt{21}$$