# In the realm of 6 Dimensions

**Algebra**Level 5

\[\large P(x)=x^6+(x-r)^6+(x-2r)^6-3r\] The polynomial above has exactly two real zeros. Find the value of \(r\) such that the sum of the real zeros is \(1\).

\[\large P(x)=x^6+(x-r)^6+(x-2r)^6-3r\] The polynomial above has exactly two real zeros. Find the value of \(r\) such that the sum of the real zeros is \(1\).

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