y=-1/8x^2quadE eching

$$y = - \frac { 1 } { 8 } x ^ { 2 } \quad E$$

E uchun yechish (complex solution)

$$\left\{\begin{matrix}E=-\frac{8y}{x^{2}}\text{, }&x\neq 0\\E\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-\frac{1}{8}x^{2}E=y$$

Tenglama standart shaklda.

$$\left(-\frac{x^{2}}{8}\right)E=y$$

Ikki tarafini -\frac{1}{8}x^{2} ga bo‘ling.

$$\frac{\left(-\frac{x^{2}}{8}\right)E}{-\frac{x^{2}}{8}}=\frac{y}{-\frac{x^{2}}{8}}$$

-\frac{1}{8}x^{2} ga bo'lish -\frac{1}{8}x^{2} ga ko'paytirishni bekor qiladi.

$$E=\frac{y}{-\frac{x^{2}}{8}}$$

y ni -\frac{1}{8}x^{2} ga bo'lish.

$$E=-\frac{8y}{x^{2}}$$

E uchun yechish

$$\left\{\begin{matrix}E=-\frac{8y}{x^{2}}\text{, }&x\neq 0\\E\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-\frac{1}{8}x^{2}E=y$$

Tenglama standart shaklda.

$$\left(-\frac{x^{2}}{8}\right)E=y$$

Ikki tarafini -\frac{1}{8}x^{2} ga bo‘ling.

$$\frac{\left(-\frac{x^{2}}{8}\right)E}{-\frac{x^{2}}{8}}=\frac{y}{-\frac{x^{2}}{8}}$$

-\frac{1}{8}x^{2} ga bo'lish -\frac{1}{8}x^{2} ga ko'paytirishni bekor qiladi.

$$E=\frac{y}{-\frac{x^{2}}{8}}$$

y ni -\frac{1}{8}x^{2} ga bo'lish.

$$E=-\frac{8y}{x^{2}}$$

x uchun yechish (complex solution)

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

x uchun yechish

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