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Aflați x pentru 12/x-1 apartine numerelor întregi si pentru 5/x+1 apartine numerelor intregi

Răspuns :

12/(x-1) apartine nr. intregi⇒(x-1)∫12 ⇒x-1 apartine D12=(+1,-1,2,-2,3,-3,4,-4,6,-6,12,-12)+1 deci x apartine (2,3,4,5,7,13,0,-1,-2,-3,-5,-11)

5/x+1 apartine nr. intregi deci (x+1)∫5 cu x+1 apartine D5=(1,-1,-5,5)-1
x apartine de (0,4,-2,-6) ∩(2,3,4,5,7,13,0,-1,-2,-3,-5,-11)=(0,4,-2) deci x=4,x=0 sau x=-2