y=mx^3+b eching

$$y = m x ^ { 3 } + b$$

m uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$mx^{3}+b=y$$

Ikkala tarafdan b ni ayirish.

$$mx^{3}=y-b$$

Tenglama standart shaklda.

$$x^{3}m=y-b$$

Ikki tarafini x^{3} ga bo‘ling.

$$\frac{x^{3}m}{x^{3}}=\frac{y-b}{x^{3}}$$

x^{3} ga bo'lish x^{3} ga ko'paytirishni bekor qiladi.

$$m=\frac{y-b}{x^{3}}$$

m uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$mx^{3}+b=y$$

Ikkala tarafdan b ni ayirish.

$$mx^{3}=y-b$$

Tenglama standart shaklda.

$$x^{3}m=y-b$$

Ikki tarafini x^{3} ga bo‘ling.

$$\frac{x^{3}m}{x^{3}}=\frac{y-b}{x^{3}}$$

x^{3} ga bo'lish x^{3} ga ko'paytirishni bekor qiladi.

$$m=\frac{y-b}{x^{3}}$$

b uchun yechish

$$b=y-mx^{3}$$