👤
Ionutgaina80
a fost răspuns

[tex] \frac{3x - 2}{x + 4} apartine \: multimii \: nr \: naturale[/tex]
Va rog mult!!

Răspuns :

Alexandravert
(3x-2)/(x+4)∈N<=>
(x+4)|(3x-2)
(x+4)|(x+4)=>(x+4)|3(x+4), (x+4)|(3x+12)

(x+4)|(3x-2)
(x+4)|(3x+12)

(x+4)|(3x-2)-(3x+12)
(x+4)|3x-2-3x-12
(x+4)|-14=> x+4∈D14

x+4∈{1, 2, 7, 14} /-4
x∈{-3, -2, 3, 10}
S={3, 10}

Alte intrebari