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determinati x∈Z pentru care
(5x+2)/(x-3)∈Z


Răspuns :

C.E x≠3

(5x-15+17)/(x-3)∈Z
5+17/(x-3)∈Z
17/(x-3)∈Z
 (x-3)∈D17Z
x-3=1 ⇒x=4
x-3=-1 ⇒x=2
x-3=17⇒ x=20
x-3=-17⇒ x=-14
x∈{-;-14;2;4;20}