KE=1/2mv^2 eching

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

E uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

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

Ikki tarafini K ga bo‘ling.

$$\frac{KE}{K}=\frac{mv^{2}}{2K}$$

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

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

K uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

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

Ikki tarafini E ga bo‘ling.

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

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

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

E uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

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

Ikki tarafini K ga bo‘ling.

$$\frac{KE}{K}=\frac{mv^{2}}{2K}$$

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

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

K uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

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

Ikki tarafini E ga bo‘ling.

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

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

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