p-2/5/p+frac{2{5}}=5 eching

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

p uchun yechish

$$p=-\frac{3}{5}=-0,6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{p-\frac{2}{5}}{p+\frac{2}{5}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{1}{5}\left(5p-2\right)}{\frac{1}{5}\left(5p+2\right)}=5$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{5p-2}{\left(\frac{1}{5}\right)^{0}\left(5p+2\right)}=5$$

0 daraja ko‘rsatkichini \frac{1}{5} ga hisoblang va 1 ni qiymatni oling.

$$\frac{5p-2}{1\left(5p+2\right)}=5$$

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

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

p qiymati -\frac{2}{5} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 5p+2 ga ko'paytirish.

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

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

$$5p-2=25p+10$$

Ikkala tarafdan 25p ni ayirish.

$$5p-2-25p=10$$

-20p ni olish uchun 5p va -25p ni birlashtirish.

$$-20p-2=10$$

2 ni ikki tarafga qo’shing.

$$-20p=10+2$$

12 olish uchun 10 va 2'ni qo'shing.

$$-20p=12$$

Ikki tarafini -20 ga bo‘ling.

$$p=\frac{12}{-20}$$

\frac{12}{-20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$p=-\frac{3}{5}$$