A) \[\frac{1}{2}\]
B) \[\frac{3}{2}\]
C) \[\frac{5}{2}\]
D) \[\frac{7}{2}\]
Correct Answer: B
Solution :
[b] \[5\{x\}=x+[x]\,\,and\,\,[x]-\{x\}=\frac{1}{2}\] Since \[x=[x]+\{x\}\Rightarrow 4\{x\}=2[x]\] and \[[x]-\{x\}=\frac{1}{2}\] after solving \[[x]=1\] and \[\{x\}=\frac{1}{2}\therefore x=1+\frac{1}{2}=\frac{3}{2}.\]You need to login to perform this action.
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