# 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 \(4\).