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 exactly two 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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