Question

tim n thuoc Z biet :

(n-3) chia het cho (n-1)

Answer 1

n-3 chia hết cho n-1

=>n-1-2 chia hết cho n-1

=>2 chia hết cho n-1

=>n-1 E Ư(2)={-1;1;-2;2}

=>n E {-1;0;2;3}

Answer 2

\(\frac{n-3}{n-1}=\frac{n-1-2}{n-1}=1\frac{-2}{n-1}\)

=> để (n-3) chia hết cho (n-1) => -2 chia hết cho n-1

\(n-1\in\left\{-2;-1;1;2\right\}\)

\(n\in\left\{-1;3;0;2\right\}\)