varepsilon_{c}=mc^2 eching

$$\varepsilon _ { c } = m c ^ { 2 }$$

m uchun yechish (complex solution)

$$\left\{\begin{matrix}m=\frac{\epsilon _{c}}{c^{2}}\text{, }&c\neq 0\\m\in \mathrm{C}\text{, }&\epsilon _{c}=0\text{ and }c=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$mc^{2}=\epsilon _{c}$$

Tenglama standart shaklda.

$$c^{2}m=\epsilon _{c}$$

Ikki tarafini c^{2} ga bo‘ling.

$$\frac{c^{2}m}{c^{2}}=\frac{\epsilon _{c}}{c^{2}}$$

c^{2} ga bo'lish c^{2} ga ko'paytirishni bekor qiladi.

$$m=\frac{\epsilon _{c}}{c^{2}}$$

m uchun yechish

$$\left\{\begin{matrix}m=\frac{\epsilon _{c}}{c^{2}}\text{, }&c\neq 0\\m\in \mathrm{R}\text{, }&\epsilon _{c}=0\text{ and }c=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$mc^{2}=\epsilon _{c}$$

Tenglama standart shaklda.

$$c^{2}m=\epsilon _{c}$$

Ikki tarafini c^{2} ga bo‘ling.

$$\frac{c^{2}m}{c^{2}}=\frac{\epsilon _{c}}{c^{2}}$$

c^{2} ga bo'lish c^{2} ga ko'paytirishni bekor qiladi.

$$m=\frac{\epsilon _{c}}{c^{2}}$$

c uchun yechish (complex solution)

$$\left\{\begin{matrix}c=-m^{-\frac{1}{2}}\sqrt{\epsilon _{c}}\text{; }c=m^{-\frac{1}{2}}\sqrt{\epsilon _{c}}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&\epsilon _{c}=0\text{ and }m=0\end{matrix}\right,$$

c uchun yechish

$$\left\{\begin{matrix}c=\sqrt{\frac{\epsilon _{c}}{m}}\text{; }c=-\sqrt{\frac{\epsilon _{c}}{m}}\text{, }&\left(\epsilon _{c}\geq 0\text{ and }m>0\right)\text{ or }\left(\epsilon _{c}\leq 0\text{ and }m<0\right)\\c\in \mathrm{R}\text{, }&\epsilon _{c}=0\text{ and }m=0\end{matrix}\right,$$