15/p+6p-5/p+2=6 eching

$$\frac{ 15 }{ p } + \frac{ 6p-5 }{ p+2 } = 6$$

p uchun yechish

$$p=15$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

p qiymati -2,0 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini p\left(p+2\right) ga, p,p+2 ning eng kichik karralisiga ko‘paytiring.

$$\left(p+2\right)\times 15+p\left(6p-5\right)=6p\left(p+2\right)$$

p+2 ga 15 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15p+30+p\left(6p-5\right)=6p\left(p+2\right)$$

p ga 6p-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15p+30+6p^{2}-5p=6p\left(p+2\right)$$

10p ni olish uchun 15p va -5p ni birlashtirish.

$$10p+30+6p^{2}=6p\left(p+2\right)$$

6p ga p+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10p+30+6p^{2}=6p^{2}+12p$$

Ikkala tarafdan 6p^{2} ni ayirish.

$$10p+30+6p^{2}-6p^{2}=12p$$

0 ni olish uchun 6p^{2} va -6p^{2} ni birlashtirish.

$$10p+30=12p$$

Ikkala tarafdan 12p ni ayirish.

$$10p+30-12p=0$$

-2p ni olish uchun 10p va -12p ni birlashtirish.

$$-2p+30=0$$

Ikkala tarafdan 30 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-2p=-30$$

Ikki tarafini -2 ga bo‘ling.

$$p=\frac{-30}{-2}$$

15 ni olish uchun -30 ni -2 ga bo‘ling.

$$p=15$$