MathDB
A Product of Nonreal Roots

Source:

November 10, 2005
floor functionalgebrapolynomialquadraticsfunctiontrigonometryAMC

Problem Statement

Let PP be the product of the nonreal roots of x44x3+6x24x=2005x^4-4x^3+6x^2-4x=2005. Find P\lfloor P\rfloor.