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I have set up the problem and solved it by trial and error but I don't know how to solve
Question Description
There is only one set of 4 consecutive positive integers such that the sum of the cubes of three of them is equal to the cube of the remaining one . what is the smallest of these four integers?
As I see it:
x cubed + ( X + 1) cubed + (x + 2) cubed = (x + 3) cubed
Answer: 3
Integers 3, 4, 5, 6 by trial
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