y=n(1^n-1x)+1-n(1^n-1) eching

$$y = n ( 1 ^ { n - 1 } x ) + 1 - n ( 1 ^ { n - 1 } )$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}x=\frac{y+n-1}{n}\text{, }&n\neq 0\\x\in \mathrm{C}\text{, }&y=1\text{ and }n=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$n\times 1^{n-1}x+1-n\times 1^{n-1}=y$$

n\times 1^{n-1} ni ikki tarafga qo’shing.

$$n\times 1^{n-1}x+1=y+n\times 1^{n-1}$$

Ikkala tarafdan 1 ni ayirish.

$$n\times 1^{n-1}x=y+n\times 1^{n-1}-1$$

Tenglama standart shaklda.

$$nx=y+n-1$$

Ikki tarafini n ga bo‘ling.

$$\frac{nx}{n}=\frac{y+n-1}{n}$$

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

$$x=\frac{y+n-1}{n}$$

x uchun yechish

$$\left\{\begin{matrix}x=\frac{y+n-1}{n}\text{, }&n\neq 0\\x\in \mathrm{R}\text{, }&y=1\text{ and }n=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$n\times 1^{n-1}x+1-n\times 1^{n-1}=y$$

n\times 1^{n-1} ni ikki tarafga qo’shing.

$$n\times 1^{n-1}x+1=y+n\times 1^{n-1}$$

Ikkala tarafdan 1 ni ayirish.

$$n\times 1^{n-1}x=y+n\times 1^{n-1}-1$$

Tenglama standart shaklda.

$$nx=y+n-1$$

Ikki tarafini n ga bo‘ling.

$$\frac{nx}{n}=\frac{y+n-1}{n}$$

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

$$x=\frac{y+n-1}{n}$$

n uchun yechish (complex solution)

$$\left\{\begin{matrix}n=-\frac{1-y}{x-1}\text{, }&x\neq 1\\n\in \mathrm{C}\text{, }&y=1\text{ and }x=1\end{matrix}\right,$$

n uchun yechish

$$\left\{\begin{matrix}n=-\frac{1-y}{x-1}\text{, }&x\neq 1\\n\in \mathrm{R}\text{, }&y=1\text{ and }x=1\end{matrix}\right,$$