y=ax^2+b+c eching

$$y = a x ^ { 2 } + b + c$$

a uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$ax^{2}+b+c=y$$

Ikkala tarafdan b ni ayirish.

$$ax^{2}+c=y-b$$

Ikkala tarafdan c ni ayirish.

$$ax^{2}=y-b-c$$

Tenglama standart shaklda.

$$x^{2}a=y-b-c$$

Ikki tarafini x^{2} ga bo‘ling.

$$\frac{x^{2}a}{x^{2}}=\frac{y-b-c}{x^{2}}$$

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

$$a=\frac{y-b-c}{x^{2}}$$

a uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$ax^{2}+b+c=y$$

Ikkala tarafdan b ni ayirish.

$$ax^{2}+c=y-b$$

Ikkala tarafdan c ni ayirish.

$$ax^{2}=y-b-c$$

Tenglama standart shaklda.

$$x^{2}a=y-b-c$$

Ikki tarafini x^{2} ga bo‘ling.

$$\frac{x^{2}a}{x^{2}}=\frac{y-b-c}{x^{2}}$$

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

$$a=\frac{y-b-c}{x^{2}}$$

b uchun yechish

$$b=-ax^{2}+y-c$$