Question

Oricare ar fi x∈R avem:
a)[x]+[x+1/2]=[2x]
b){x}+{x+1/2}={2x}+1/2

Answer 1

x+x+1/2=2x⇒2x+x+1/2=2x⇒3x+1/2=2x⇒3x+1=4x⇒3x-4x=-1⇒-x=-1/(-1)⇒x=1
x+x+1/2=2x+1/2⇒2x+x+1/2=4x+1/2⇒3x+1/2=4x+1/2⇒2(4x+1)=2(3x+1)⇒8x+2=6x+2⇒8x-6x=2-2⇒2x=0⇒x=0/2⇒x=0
succes