x-a/x=x-2a+1/2 eching

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

a uchun yechish (complex solution)

$$\left\{\begin{matrix}a=\frac{x}{2}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&x=\frac{1}{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2x ga, x,2 ning eng kichik karralisiga ko‘paytiring.

$$2\left(x-a\right)=2xx-2a\times 2x+2x\times \frac{1}{2}$$

2 ga x-a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-2a=2xx-2a\times 2x+2x\times \frac{1}{2}$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

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

-4 hosil qilish uchun -2 va 2 ni ko'paytirish.

$$2x-2a=2x^{2}-4ax+2x\times \frac{1}{2}$$

1 hosil qilish uchun 2 va \frac{1}{2} ni ko'paytirish.

$$2x-2a=2x^{2}-4ax+x$$

4ax ni ikki tarafga qo’shing.

$$2x-2a+4ax=2x^{2}+x$$

Ikkala tarafdan 2x ni ayirish.

$$-2a+4ax=2x^{2}+x-2x$$

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

$$-2a+4ax=2x^{2}-x$$

a'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-2+4x\right)a=2x^{2}-x$$

Tenglama standart shaklda.

$$\left(4x-2\right)a=2x^{2}-x$$

Ikki tarafini -2+4x ga bo‘ling.

$$\frac{\left(4x-2\right)a}{4x-2}=\frac{x\left(2x-1\right)}{4x-2}$$

-2+4x ga bo'lish -2+4x ga ko'paytirishni bekor qiladi.

$$a=\frac{x\left(2x-1\right)}{4x-2}$$

x\left(-1+2x\right) ni -2+4x ga bo'lish.

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

a uchun yechish

$$\left\{\begin{matrix}a=\frac{x}{2}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&x=\frac{1}{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2x ga, x,2 ning eng kichik karralisiga ko‘paytiring.

$$2\left(x-a\right)=2xx-2a\times 2x+2x\times \frac{1}{2}$$

2 ga x-a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-2a=2xx-2a\times 2x+2x\times \frac{1}{2}$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

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

-4 hosil qilish uchun -2 va 2 ni ko'paytirish.

$$2x-2a=2x^{2}-4ax+2x\times \frac{1}{2}$$

1 hosil qilish uchun 2 va \frac{1}{2} ni ko'paytirish.

$$2x-2a=2x^{2}-4ax+x$$

4ax ni ikki tarafga qo’shing.

$$2x-2a+4ax=2x^{2}+x$$

Ikkala tarafdan 2x ni ayirish.

$$-2a+4ax=2x^{2}+x-2x$$

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

$$-2a+4ax=2x^{2}-x$$

a'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-2+4x\right)a=2x^{2}-x$$

Tenglama standart shaklda.

$$\left(4x-2\right)a=2x^{2}-x$$

Ikki tarafini -2+4x ga bo‘ling.

$$\frac{\left(4x-2\right)a}{4x-2}=\frac{x\left(2x-1\right)}{4x-2}$$

-2+4x ga bo'lish -2+4x ga ko'paytirishni bekor qiladi.

$$a=\frac{x\left(2x-1\right)}{4x-2}$$

x\left(-1+2x\right) ni -2+4x ga bo'lish.

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

x uchun yechish

$$\left\{\begin{matrix}\\x=\frac{1}{2}\text{, }&\text{unconditionally}\\x=2a\text{, }&a\neq 0\end{matrix}\right,$$