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Răspuns:
a)2[x+4]-[x+3]=5
[x+4]=[x]+4
[x+3]=[x]+3
2([x]+4)-([x]+3}=5
2[x]+8-[x]-3=5
[x]+5=5
[x]=0
x∈[0,1)
b)
[x]=(x-1)/2
[x]=k k∈Z=>
(x-1)/2=k
[x]=k=>
(x-1)/2=k
x=2k+1=.>
[2k+1]=k
2k+1=k
2k-k= -1
k= -1
x=2*(-1)+1
x=-2+1
x= -1
Explicație pas cu pas: