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Mihalulus
a fost răspuns

determinati multimea A={x apartine N|3x+2/2x+3 apartine N}

Răspuns :

Albatran
2x+3|3x+2⇒ 2x+3| 6x+4  ,

(6x+4)/2x+3 ∈N
6x+9-5/2x+3 ∈N
 (6x+9)/(2x+3) -5/(2x+3) ∈N

3-5/(2x+3) ∈N
2x+3 ∈D5={1;5}

2x+3=1, x=-1∉N
 2x+3=5, 2x=2; x=1∈N , verifica

deci A = {1}

 




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