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 ©
by
Sanjeet Raria