x+1-4/x+1=x-1 eching

$$x + 1 - \frac { 4 } { x + 1 } = x - 1$$

x uchun yechish

$$x=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+1 ga ko'paytirish.

$$\left(x+1\right)x+x+1-4=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

x+1 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+x+x+1-4=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

2x ni olish uchun x va x ni birlashtirish.

$$x^{2}+2x+1-4=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

-3 olish uchun 1 dan 4 ni ayirish.

$$x^{2}+2x-3=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

x+1 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+2x-3=x^{2}+x+\left(x+1\right)\left(-1\right)$$

x+1 ga -1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+2x-3=x^{2}+x-x-1$$

0 ni olish uchun x va -x ni birlashtirish.

$$x^{2}+2x-3=x^{2}-1$$

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}+2x-3-x^{2}=-1$$

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$2x-3=-1$$

3 ni ikki tarafga qo’shing.

$$2x=-1+3$$

2 olish uchun -1 va 3'ni qo'shing.

$$2x=2$$

Ikki tarafini 2 ga bo‘ling.

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

1 ni olish uchun 2 ni 2 ga bo‘ling.

$$x=1$$