Question

3n+2 chia hết cho 2n+5

Answer 1

n=3 thì cả 2 vế chia hết cho nhau 

Answer 2

\(\left(3n+2\right)⋮\left(2n+5\right)\Rightarrow3\left(2n+5\right)-2\left(3n+2\right)⋮\left(2n+5\right)\)

\(\Rightarrow11⋮2n+5\)

\(\Rightarrow2n+5=Ư\left(11\right)\)

\(\Rightarrow\left[{}\begin{matrix}2n+5=-11\\2n+5=-1\\2n+5=1\\2n+5=11\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}n=-8\\n=-3\\n=-2\\n=3\end{matrix}\right.\)