# In the realm of 6 Dimensions-2

Algebra Level 5

The polynomial $\large P(x)=x^6+(x-r)^6+(x-2r)^6-3r$ has 6 complex non real zeros for real $$r$$. Find the value of $$r$$ if it is given that the real part of one of it's imaginary zero is $$4$$.

#### This problem is inspired by Joel Tan's comment on its sister problem. For more of my problems check the set Questions I've Made ©

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