Matematică
denideni2000077
2015-11-12 01:23:15
Aflati elementele multimii A. A={x apartine Z| x+3/x-1 apartine Z}
Răspunsuri la întrebare
TestU01420437744
2015-11-12 06:19:10

[latex]frac{x+3}{x-1}=frac{x-1+4}{x-1}=frac{x-1}{x-1}+frac{4}{x-1}=1+frac{4}{x-1} \ \ 1inmathbb{Z}Rightarrowfrac{4}{x-1}inmathbb{Z}Rightarrow (x-1)mid4 \ \ x-1in{1,2,4,-1,-2,-4} \ \ xin{2,3,5,0,-1,-3} \ \ A={2,3,5,0,-1,-3}[/latex]

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