Question

[Oh Sehun]

Cho P/S A=\(\frac{2n-3}{n-2}\)

Tim n de A nguyen

Answer 1

[Trần Việt Anh]

Để A nguyên 

\(\Leftrightarrow2n-3⋮n-2\)

\(\Leftrightarrow2n-3-2n+4⋮n-2\)

\(\Leftrightarrow1⋮n-2\)

\(\Leftrightarrow n-2\inƯ\left(1\right)=\left\{1;-1\right\}\)

n-2	1	-1
n	3	1
Nx	chọn	chọn

Vậy..

Answer 2

[Đặng Tú Phương]

\(\frac{2n-3}{n-2}=\frac{2\left(n-2\right)-3+4}{n-2}=\frac{2\left(n-2\right)-1}{n-2}=2-\frac{1}{n-2}\)

A nguyên \(\Leftrightarrow1⋮n-2\)

\(\Rightarrow n-2\inƯ\left(1\right)=\left\{\pm1\right\}\)

\(\Rightarrow n\in\left\{3.;1\right\}\)

Vậy..................................