-2v/R+4piR=0 eching

$$- \frac { 2 v } { R } + 4 \pi R = 0$$

v uchun yechish

$$v=2\pi R^{2}$$

$$R\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini R ga ko'paytirish.

$$-2v+4\pi RR=0$$

R^{2} hosil qilish uchun R va R ni ko'paytirish.

$$-2v+4\pi R^{2}=0$$

Ikkala tarafdan 4\pi R^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-2v=-4\pi R^{2}$$

Ikki tarafini -2 ga bo‘ling.

$$\frac{-2v}{-2}=-\frac{4\pi R^{2}}{-2}$$

-2 ga bo'lish -2 ga ko'paytirishni bekor qiladi.

$$v=-\frac{4\pi R^{2}}{-2}$$

-4\pi R^{2} ni -2 ga bo'lish.

$$v=2\pi R^{2}$$

R uchun yechish (complex solution)

$$R=-\frac{\sqrt{\frac{2v}{\pi }}}{2}$$

$$R=\frac{\sqrt{\frac{2v}{\pi }}}{2}\text{, }v\neq 0$$

R uchun yechish

$$R=\frac{\sqrt{\frac{2v}{\pi }}}{2}$$

$$R=-\frac{\sqrt{\frac{2v}{\pi }}}{2}\text{, }v>0$$