In the realm of 6 Dimensions-2

Algebra Level 5

The polynomial P(x)=x6+(xr)6+(x2r)63r\large P(x)=x^6+(x-r)^6+(x-2r)^6-3r has 6 complex non real zeros for real rr. Find the value of rr if it is given that the real part of one of it's imaginary zero is 44.

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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