Find two number whose sum is 8 and the sum of their cubes is minimum.

Explanation

To solve the problem of finding two numbers whose sum is 8 and the sum of their cubes is minimized, we can follow these steps:

### Step 1: Define the Variables
Let the two numbers be \( x \) and \( y \). According to the problem, we have:
\[ x + y = 8 \]
From this, we can express \( y \) in terms of \( x \):
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