y=1/2mc^2 eching

$$y = 1 / 2 m c ^ { 2 }$$

m uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{1}{2}mc^{2}=y$$

Tenglama standart shaklda.

$$\frac{c^{2}}{2}m=y$$

Ikki tarafini \frac{1}{2}c^{2} ga bo‘ling.

$$\frac{2\times \frac{c^{2}}{2}m}{c^{2}}=\frac{2y}{c^{2}}$$

\frac{1}{2}c^{2} ga bo'lish \frac{1}{2}c^{2} ga ko'paytirishni bekor qiladi.

$$m=\frac{2y}{c^{2}}$$

m uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{1}{2}mc^{2}=y$$

Tenglama standart shaklda.

$$\frac{c^{2}}{2}m=y$$

Ikki tarafini \frac{1}{2}c^{2} ga bo‘ling.

$$\frac{2\times \frac{c^{2}}{2}m}{c^{2}}=\frac{2y}{c^{2}}$$

\frac{1}{2}c^{2} ga bo'lish \frac{1}{2}c^{2} ga ko'paytirishni bekor qiladi.

$$m=\frac{2y}{c^{2}}$$

c uchun yechish (complex solution)

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

c uchun yechish

$$\left\{\begin{matrix}c=\sqrt{\frac{2y}{m}}\text{; }c=-\sqrt{\frac{2y}{m}}\text{, }&\left(y\geq 0\text{ and }m>0\right)\text{ or }\left(y\leq 0\text{ and }m<0\right)\\c\in \mathrm{R}\text{, }&y=0\text{ and }m=0\end{matrix}\right,$$