Solve the equation `x^(3)-[x]=3`, where `[x]` denotes the greatest integer less than or equal to `x`.

Explanation

To solve the equation \( x^3 - [x] = 3 \), where \([x]\) denotes the greatest integer less than or equal to \(x\), we can follow these steps:

### Step 1: Rewrite the equation
We can rearrange the equation as follows:
\[ x^3 - 3 = [x] \]
This means that the greatest integer less than or equal to \(x\) is equal to \(x^3 - 3\).
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