009(x+30)=[03(x+30)]^2/x+50 eching

$$009 ( x + 30 ) = \frac { [ 03 ( x + 30 ) ] ^ { 2 } } { x + 50 }$$

x uchun yechish

$$x\neq -50$$

Yechim qadamlari

x qiymati -50 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+50 ga ko'paytirish.

$$0\times 0\times 9\left(x+30\right)\left(x+50\right)=\left(0\times 3\left(x+30\right)\right)^{2}$$

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

$$0\times 9\left(x+30\right)\left(x+50\right)=\left(0\times 3\left(x+30\right)\right)^{2}$$

0 hosil qilish uchun 0 va 9 ni ko'paytirish.

$$0\left(x+30\right)\left(x+50\right)=\left(0\times 3\left(x+30\right)\right)^{2}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0=\left(0\times 3\left(x+30\right)\right)^{2}$$

0 hosil qilish uchun 0 va 3 ni ko'paytirish.

$$0=\left(0\left(x+30\right)\right)^{2}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0=0^{2}$$

2 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$0=0$$

0 va 0 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

$$x\in \mathrm{R}$$

x qiymati -50 teng bo‘lmaydi.

$$x\in \mathrm{R}\setminus -50$$