x+1/x+2=5 eching

$$\frac { x + 1 } { x + 2 } = 5$$

x uchun yechish

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2,25$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+2 ga ko'paytirish.

$$x+1=5\left(x+2\right)$$

5 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x+1=5x+10$$

Ikkala tarafdan 5x ni ayirish.

$$x+1-5x=10$$

-4x ni olish uchun x va -5x ni birlashtirish.

$$-4x+1=10$$

Ikkala tarafdan 1 ni ayirish.

$$-4x=10-1$$

9 olish uchun 10 dan 1 ni ayirish.

$$-4x=9$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{9}{-4}$$

\frac{9}{-4} kasri manfiy belgini olib tashlash bilan -\frac{9}{4} sifatida qayta yozilishi mumkin.

$$x=-\frac{9}{4}$$