ax^2+bx-d=r eching

$$a x ^ { 2 } + b x - d = r$$

a uchun yechish (complex solution)

$$\left\{\begin{matrix}a=-\frac{bx-d-r}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&d=-r\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan bx ni ayirish.

$$ax^{2}-d=r-bx$$

d ni ikki tarafga qo’shing.

$$ax^{2}=r-bx+d$$

Tenglama standart shaklda.

$$x^{2}a=r+d-bx$$

Ikki tarafini x^{2} ga bo‘ling.

$$\frac{x^{2}a}{x^{2}}=\frac{r+d-bx}{x^{2}}$$

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

$$a=\frac{r+d-bx}{x^{2}}$$

b uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ax^{2} ni ayirish.

$$bx-d=r-ax^{2}$$

d ni ikki tarafga qo’shing.

$$bx=r-ax^{2}+d$$

Shartlarni qayta saralash.

$$bx=-ax^{2}+d+r$$

Tenglama standart shaklda.

$$xb=r+d-ax^{2}$$

Ikki tarafini x ga bo‘ling.

$$\frac{xb}{x}=\frac{r+d-ax^{2}}{x}$$

x ga bo'lish x ga ko'paytirishni bekor qiladi.

$$b=\frac{r+d-ax^{2}}{x}$$

a uchun yechish

$$\left\{\begin{matrix}a=-\frac{bx-d-r}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&d=-r\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan bx ni ayirish.

$$ax^{2}-d=r-bx$$

d ni ikki tarafga qo’shing.

$$ax^{2}=r-bx+d$$

Tenglama standart shaklda.

$$x^{2}a=r+d-bx$$

Ikki tarafini x^{2} ga bo‘ling.

$$\frac{x^{2}a}{x^{2}}=\frac{r+d-bx}{x^{2}}$$

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

$$a=\frac{r+d-bx}{x^{2}}$$

b uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ax^{2} ni ayirish.

$$bx-d=r-ax^{2}$$

d ni ikki tarafga qo’shing.

$$bx=r-ax^{2}+d$$

Shartlarni qayta saralash.

$$bx=-ax^{2}+d+r$$

Tenglama standart shaklda.

$$xb=r+d-ax^{2}$$

Ikki tarafini x ga bo‘ling.

$$\frac{xb}{x}=\frac{r+d-ax^{2}}{x}$$

x ga bo'lish x ga ko'paytirishni bekor qiladi.

$$b=\frac{r+d-ax^{2}}{x}$$