\(\Leftrightarrow2x^2-5x+19=y\left(2x+1\right)\)
\(\Leftrightarrow y=\frac{2x^2-5x+19}{2x+1}=x-3+\frac{22}{2x+1}\) (1)
y nguyên \(\Rightarrow2x+1=Ư\left(22\right)\)
Mà \(2x+1\) luôn lẻ \(\Rightarrow2x+1=\left\{-11;-1;1;11\right\}\)
\(\Rightarrow x=\left\{-6;-1;0;5\right\}\)
Thay x vào (1) tính y tương ứng