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Solve 2[x]=x+{x},w h r e[]a n d{} denote...

Solve `2[x]=x+{x},w h r e[]a n d{}` denote the greatest integer function and the fractional part function, respectively.

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Verified by Experts

Given `2[x]=x+{x}`
or ` 2[x]=[x]+2{x}`
or ` {x}=({x})/(2)`
or ` 0 le [x] lt 2`
or `[x] =0,1`
For `[x] =0, " we get " {x} =0 " or " x=0.`
For `[x]=1, " we get " {x} =(1)/(2) " or " x=(3)/(2).`
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