90/x+90-40/x+40=02 eching

$$\frac{ 90 }{ x+90 } - \frac{ 40 }{ x+40 } =02$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -90,-40 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x+40\right)\left(x+90\right) ga, x+90,x+40 ning eng kichik karralisiga ko‘paytiring.

$$\left(x+40\right)\times 90-\left(x+90\right)\times 40=0\times 2\left(x+40\right)\left(x+90\right)$$

x+40 ga 90 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$90x+3600-\left(x+90\right)\times 40=0\times 2\left(x+40\right)\left(x+90\right)$$

x+90 ga 40 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$90x+3600-\left(40x+3600\right)=0\times 2\left(x+40\right)\left(x+90\right)$$

40x+3600 teskarisini topish uchun har birining teskarisini toping.

$$90x+3600-40x-3600=0\times 2\left(x+40\right)\left(x+90\right)$$

50x ni olish uchun 90x va -40x ni birlashtirish.

$$50x+3600-3600=0\times 2\left(x+40\right)\left(x+90\right)$$

0 olish uchun 3600 dan 3600 ni ayirish.

$$50x=0\times 2\left(x+40\right)\left(x+90\right)$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$50x=0\left(x+40\right)\left(x+90\right)$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$50x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. 50 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$