-2ax+a^2+1=0 eching

$$- 2 a x + a ^ { 2 } + 1 = 0$$

x uchun yechish

$$x=\frac{a}{2}+\frac{1}{2a}$$

$$a\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-2ax+1=-a^{2}$$

Ikkala tarafdan 1 ni ayirish.

$$-2ax=-a^{2}-1$$

Tenglama standart shaklda.

$$\left(-2a\right)x=-a^{2}-1$$

Ikki tarafini -2a ga bo‘ling.

$$\frac{\left(-2a\right)x}{-2a}=\frac{-a^{2}-1}{-2a}$$

-2a ga bo'lish -2a ga ko'paytirishni bekor qiladi.

$$x=\frac{-a^{2}-1}{-2a}$$

-a^{2}-1 ni -2a ga bo'lish.

$$x=\frac{a}{2}+\frac{1}{2a}$$

a uchun yechish (complex solution)

$$a=\sqrt{x^{2}-1}+x$$

$$a=-\sqrt{x^{2}-1}+x$$

a uchun yechish

$$a=\sqrt{x^{2}-1}+x$$

$$a=-\sqrt{x^{2}-1}+x\text{, }|x|\geq 1$$