Sum of magnitudes for complex roots 20x^8 + 7ix^7 - 7ix + 20
Source: AIMO 2007, TST 3, P2
January 11, 2009
absolute valuealgebra unsolvedalgebra
Problem Statement
Determine the sum of absolute values for the complex roots of 20 x^8 \plus{} 7i x^7 \minus{}7ix \plus{} 20.