Question

11n + 25 chia hết 3n+4

Answer 1

11n+25 chia hết cho 3n+4

=>\(33n+75⋮3n+4\)

=>\(33n+44+31⋮3n+4\)

=>\(3n+4\inƯ\left(31\right)\)

=>\(3n+4\in\left\{1;-1;31;-31\right\}\)

=>\(3n\in\left\{-3;-5;27;-35\right\}\)

=>\(n\in\left\{-1;-\dfrac{5}{3};9;-\dfrac{35}{3}\right\}\)