In the realm of 6 Dimensions

Algebra Level 5

P(x)=x6+(xr)6+(x2r)63r\large P(x)=x^6+(x-r)^6+(x-2r)^6-3r The polynomial above has exactly two real zeros. Find the value of rr such that the sum of the real zeros is 11.

Note: Don't forget to try its awesome sister problem. This problem belongs to the set- Questions I've Made ©
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