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Determinati multimile:
C={x|x apartine N si (x+1)|(x+50)}
D={x|x apartine N, (2x+1)|65 si 17 nu divide (x+2)}


Răspuns :

(x+5)/(x+1)=(x+1+4)/(x+1)=1 +4/(x+1)

x+1 divide 4, rezulta 

x+1=1, x=0
x+1=2, x=1
x+1=4, x=3

C=0,1,3

2x+1 divide 65, rezulta:

2x+1=65, x=32, x+2=34, 17 divide 34, deci x=32 nu apartine multimii
2x+1=13, x=6 , x+2=8, 17 nu divide 8
2x+1=5,   x=2 , x+2=4, 17 nu divide 4
2x+1=1,   x=0 , x+2=2, 17 nu divide 2

D=0,2,6