MathDB
Problems
Contests
National and Regional Contests
India Contests
India National Olympiad
2003 India National Olympiad
3
3
Part of
2003 India National Olympiad
Problems
(1)
Find the sum of the non-real roots
Source: India National Olympiad 2003, Problem 3
10/10/2005
Show that
8
x
4
−
16
x
3
+
16
x
2
−
8
x
+
k
=
0
8x^4 - 16x^3 + 16x^2 - 8x + k = 0
8
x
4
−
16
x
3
+
16
x
2
−
8
x
+
k
=
0
has at least one real root for all real
k
k
k
. Find the sum of the non-real roots.
inequalities
function
algebra unsolved
algebra