MathDB
P03 [Algebra] - Turkish NMO 1st Round - 2005

Source:

November 2, 2013

Problem Statement

If the difference between the greatest and the smallest root of the equation x3āˆ’6x2+5x^3 - 6x^2 + 5 is equal to FF, which of the following is true?
(A)\ 0 \leq F < 2  (B)\ 2 \leq F < 4  (C)\ 4 \leq F < 6  (D)\ 6 \leq F < 8  (E)\ 8 \leq F