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Regional Mathematical Olympiad
2000 India Regional Mathematical Olympiad
7
Equation roots
Equation roots
Source: Indian RMO 2000 Problem 7
October 27, 2005
quadratics
Problem Statement
Find all real values of
a
a
a
such that
x
4
−
2
a
x
2
+
x
+
a
2
−
a
=
0
x^4 - 2ax^2 + x + a^2 -a = 0
x
4
−
2
a
x
2
+
x
+
a
2
−
a
=
0
has all its roots real.
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