Ec=1/2mv^2 eching

$$E c = \frac { 1 } { 2 } m v ^ { 2 }$$

E uchun yechish (complex solution)

$$\left\{\begin{matrix}E=\frac{mv^{2}}{2c}\text{, }&c\neq 0\\E\in \mathrm{C}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }c=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$cE=\frac{mv^{2}}{2}$$

Ikki tarafini c ga bo‘ling.

$$\frac{cE}{c}=\frac{mv^{2}}{2c}$$

c ga bo'lish c ga ko'paytirishni bekor qiladi.

$$E=\frac{mv^{2}}{2c}$$

c uchun yechish (complex solution)

$$\left\{\begin{matrix}c=\frac{mv^{2}}{2E}\text{, }&E\neq 0\\c\in \mathrm{C}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }E=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$Ec=\frac{mv^{2}}{2}$$

Ikki tarafini E ga bo‘ling.

$$\frac{Ec}{E}=\frac{mv^{2}}{2E}$$

E ga bo'lish E ga ko'paytirishni bekor qiladi.

$$c=\frac{mv^{2}}{2E}$$

E uchun yechish

$$\left\{\begin{matrix}E=\frac{mv^{2}}{2c}\text{, }&c\neq 0\\E\in \mathrm{R}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }c=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$cE=\frac{mv^{2}}{2}$$

Ikki tarafini c ga bo‘ling.

$$\frac{cE}{c}=\frac{mv^{2}}{2c}$$

c ga bo'lish c ga ko'paytirishni bekor qiladi.

$$E=\frac{mv^{2}}{2c}$$

c uchun yechish

$$\left\{\begin{matrix}c=\frac{mv^{2}}{2E}\text{, }&E\neq 0\\c\in \mathrm{R}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }E=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$Ec=\frac{mv^{2}}{2}$$

Ikki tarafini E ga bo‘ling.

$$\frac{Ec}{E}=\frac{mv^{2}}{2E}$$

E ga bo'lish E ga ko'paytirishni bekor qiladi.

$$c=\frac{mv^{2}}{2E}$$