24x/x^2-36-4/x+6=24/x^2-36 eching

$$\frac { 24 x } { x ^ { 2 } - 36 } - \frac { 4 } { x + 6 } = \frac { 24 } { x ^ { 2 } - 36 }$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -6,6 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x-6\right)\left(x+6\right) ga, x^{2}-36,x+6 ning eng kichik karralisiga ko‘paytiring.

$$24x-\left(x-6\right)\times 4=24$$

x-6 ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$24x-\left(4x-24\right)=24$$

4x-24 teskarisini topish uchun har birining teskarisini toping.

$$24x-4x+24=24$$

20x ni olish uchun 24x va -4x ni birlashtirish.

$$20x+24=24$$

Ikkala tarafdan 24 ni ayirish.

$$20x=24-24$$

0 olish uchun 24 dan 24 ni ayirish.

$$20x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. 20 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$