x=sw-sc^3 eching

$$x = s w - s c ^ { 3 }$$

s uchun yechish (complex solution)

$$\left\{\begin{matrix}s=\frac{x}{w-c^{3}}\text{, }&w\neq c^{3}\\s\in \mathrm{C}\text{, }&x=0\text{ and }w=c^{3}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$sw-sc^{3}=x$$

Shartlarni qayta saralash.

$$-sc^{3}+sw=x$$

s'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-c^{3}+w\right)s=x$$

Tenglama standart shaklda.

$$\left(w-c^{3}\right)s=x$$

Ikki tarafini w-c^{3} ga bo‘ling.

$$\frac{\left(w-c^{3}\right)s}{w-c^{3}}=\frac{x}{w-c^{3}}$$

w-c^{3} ga bo'lish w-c^{3} ga ko'paytirishni bekor qiladi.

$$s=\frac{x}{w-c^{3}}$$

s uchun yechish

$$\left\{\begin{matrix}s=\frac{x}{w-c^{3}}\text{, }&w\neq c^{3}\\s\in \mathrm{R}\text{, }&x=0\text{ and }w=c^{3}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$sw-sc^{3}=x$$

Shartlarni qayta saralash.

$$-sc^{3}+sw=x$$

s'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-c^{3}+w\right)s=x$$

Tenglama standart shaklda.

$$\left(w-c^{3}\right)s=x$$

Ikki tarafini w-c^{3} ga bo‘ling.

$$\frac{\left(w-c^{3}\right)s}{w-c^{3}}=\frac{x}{w-c^{3}}$$

w-c^{3} ga bo'lish w-c^{3} ga ko'paytirishni bekor qiladi.

$$s=\frac{x}{w-c^{3}}$$

c uchun yechish (complex solution)

$$\left\{\begin{matrix}c=e^{\frac{2\pi i}{3}}\sqrt[3]{w-\frac{x}{s}}\text{; }c=\sqrt[3]{w-\frac{x}{s}}\text{; }c=e^{\frac{4\pi i}{3}}\sqrt[3]{w-\frac{x}{s}}\text{, }&s\neq 0\\c\in \mathrm{C}\text{, }&x=0\text{ and }s=0\end{matrix}\right,$$

c uchun yechish

$$\left\{\begin{matrix}c=\sqrt[3]{w-\frac{x}{s}}\text{, }&s\neq 0\\c\in \mathrm{R}\text{, }&x=0\text{ and }s=0\end{matrix}\right,$$