3/2b+2b/b-3=2 eching

$$\frac { 3 } { 2 b } + \frac { 2 b } { b - 3 } = 2$$

b uchun yechish

$$b=\frac{3}{5}=0,6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

b qiymati 0,3 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2b\left(b-3\right) ga, 2b,b-3 ning eng kichik karralisiga ko‘paytiring.

$$\left(b-3\right)\times 3+2b\times 2b=4b\left(b-3\right)$$

\left(2b\right)^{2} hosil qilish uchun 2b va 2b ni ko'paytirish.

$$\left(b-3\right)\times 3+\left(2b\right)^{2}=4b\left(b-3\right)$$

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

$$3b-9+\left(2b\right)^{2}=4b\left(b-3\right)$$

\left(2b\right)^{2} ni kengaytirish.

$$3b-9+2^{2}b^{2}=4b\left(b-3\right)$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$3b-9+4b^{2}=4b\left(b-3\right)$$

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

$$3b-9+4b^{2}=4b^{2}-12b$$

Ikkala tarafdan 4b^{2} ni ayirish.

$$3b-9+4b^{2}-4b^{2}=-12b$$

0 ni olish uchun 4b^{2} va -4b^{2} ni birlashtirish.

$$3b-9=-12b$$

12b ni ikki tarafga qo’shing.

$$3b-9+12b=0$$

15b ni olish uchun 3b va 12b ni birlashtirish.

$$15b-9=0$$

9 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$15b=9$$

Ikki tarafini 15 ga bo‘ling.

$$b=\frac{9}{15}$$

\frac{9}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$b=\frac{3}{5}$$