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Turkey Contests
National Olympiad First Round
2005 National Olympiad First Round
3
3
Part of
2005 National Olympiad First Round
Problems
(1)
P03 [Algebra] - Turkish NMO 1st Round - 2005
Source:
11/2/2013
If the difference between the greatest and the smallest root of the equation
x
3
ā
6
x
2
+
5
x^3 - 6x^2 + 5
x
3
ā
6
x
2
+
5
is equal to
F
F
F
, 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