Matematică
lazeasanda
5

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

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cozmy123

[latex] \frac{3x-2}{x=+4}=k=>3x-2=k*x+4*k [/latex] 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}

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