Question

Answer 1

\(4n+6⋮2n-3\)

=>\(4n-6+12⋮2n-3\)

=>\(12⋮2n-3\)

mà 2n-3 lẻ(do n nguyên)

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

=>\(2n\in\left\{4;2;6;0\right\}\)

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

=>Có 4 giá trị n nguyên thỏa mãn