A) 1
B) 2
C) 3
D) 4
Correct Answer: A
Solution :
We have, | |
\[5\{x\}=x+[x]\] | ? (i) |
\[[x]-\{x\}=\frac{1}{2}\] | ? (ii) |
\[\therefore \] \[0\le \{0\}<1\] \[\Rightarrow \] \[[x]-\frac{1}{2}=\{x\}\] | |
\[0\le [x]-\frac{1}{2}<1\]\[\Rightarrow \]\[[x]=1,\{x\}=\frac{1}{2}\] | |
\[\therefore \]\[\frac{5}{2}=x+1\]\[\Rightarrow \]\[x=\frac{3}{2}\]only one solution |
You need to login to perform this action.
You will be redirected in
3 sec