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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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To solve the equation \( 2[x] = x + \{x\} \), where \([x]\) denotes the greatest integer function (also known as the floor function) and \(\{x\}\) denotes the fractional part function, we can follow these steps: ### Step 1: Understand the relationship between \([x]\) and \(\{x\}\) The relationship between the greatest integer function and the fractional part function is given by: \[ x = [x] + \{x\} \] This means that any real number \(x\) can be expressed as the sum of its greatest integer part and its fractional part. ...
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