Question

Aflati elementele urmatoarelor multimi:
1. C={x∈N| $\frac{3x-2}{x+4}$ ∈ N}

Answer 1

$\frac{3x-2}{x=+4}=k=>3x-2=k*x+4*k$
Ii dam valori lui k , si anume:
k=1⇒3x-2=1*x+4*1⇒3x-2=x+4⇒2x=6⇒x=3
k=2⇒3x-2=2*x+4*2⇒3x-2=2x+8⇒x=10
k=3⇒3x-2=3*x+4*3⇒3x-2=3x+12⇒0*x=14⇒x=14:0⇒imposibil

Asadar C={3;10}