If {x} and [x] denote respectively the fractional and integeral parts of a real number x, then the number of solution of the equation 4{x}=x+[x] , is

Explanation

To solve the equation \( 4\{x\} = x + [x] \), where \(\{x\}\) is the fractional part of \(x\) and \([x]\) is the integral part of \(x\), we can follow these steps:

### Step 1: Understand the Definitions
The fractional part \(\{x\}\) is defined as:
\[ \{x\} = x - [x] \]
where \([x]\) is the greatest integer less than or equal to \(x\).
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