\(5n-6⋮3n-2\)
\(\Rightarrow3\left(5n-6\right)-5\left(3n-2\right)⋮3n-2\)
\(\Rightarrow15n-18-15n+10⋮3n-2\)
\(\Rightarrow-8⋮3n-2\)
\(\Rightarrow3n-2\inƯ\left(-8\right)\)
\(\Rightarrow3n-2\in\left\{1;-1;2;-2;4;-4;8;-8\right\}\)
\(\Rightarrow3n\in\left\{3;1;4;0;6;-2;10;-6\right\}\)
\(\Rightarrow n\in\left\{1;\frac{1}{3};\frac{4}{3};0;2;-\frac{2}{3};\frac{10}{3};-2\right\}\)
Mà n \(\in\) Z
\(\Rightarrow n\in\left\{1;0;2;-2\right\}\)
Wow~~~~
Siêu quá ik nak ^^
Thanks ST nah [≥^.^≤ ]
3[5n-6] chia het cho3n-2
15n-18 chia het cho 3n-2
tach:5.[3n-2]-8 chia het cho 3n-2
vi5.[3n-2] chia het cho 3n-2
nen 8 chia het cho 3n-2
nen3n-2 thuoc uoc cua 8
xong