Question

cho A=12n+1/2n+3.tim gia tri n de:A la 1 so nguyen

Answer 1

\(A=\frac{12n+1}{2n+3}=\frac{12n+18-17}{2n+3}=\frac{6\left(2n+3\right)-17}{2n+3}=6-\frac{17}{2n+3}\)

Để \(6-\frac{17}{2n+3}\in Z\Leftrightarrow\frac{17}{2n+3}\in Z\)

=> 2n + 3 \(\in\) Ư( 17 ) = { - 17; - 1; 1 ; 17 }

=> n = { - 10 ; - 2 ; - 1 ; 7 }