12x/x^2-9-4/x+3=12/x^2-9 eching

$$\frac { 12 x } { x ^ { 2 } - 9 } - \frac { 4 } { x + 3 } = \frac { 12 } { x ^ { 2 } - 9 }$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -3,3 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x-3\right)\left(x+3\right) ga, x^{2}-9,x+3 ning eng kichik karralisiga ko‘paytiring.

$$12x-\left(x-3\right)\times 4=12$$

x-3 ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12x-\left(4x-12\right)=12$$

4x-12 teskarisini topish uchun har birining teskarisini toping.

$$12x-4x+12=12$$

8x ni olish uchun 12x va -4x ni birlashtirish.

$$8x+12=12$$

Ikkala tarafdan 12 ni ayirish.

$$8x=12-12$$

0 olish uchun 12 dan 12 ni ayirish.

$$8x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. 8 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$