-2v/R^2+4piR=0 eching

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

v uchun yechish

$$v=2\pi R^{3}$$

$$R\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini R^{2} ga ko'paytirish.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$-2v+4\pi R^{3}=0$$

Ikkala tarafdan 4\pi R^{3} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-2v=-4\pi R^{3}$$

Ikki tarafini -2 ga bo‘ling.

$$\frac{-2v}{-2}=-\frac{4\pi R^{3}}{-2}$$

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

$$v=-\frac{4\pi R^{3}}{-2}$$

-4\pi R^{3} ni -2 ga bo'lish.

$$v=2\pi R^{3}$$

R uchun yechish

$$R=\frac{2^{\frac{2}{3}}\sqrt[3]{\frac{v}{\pi }}}{2}$$

$$v\neq 0$$