# 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 $$1$$.

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