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Germany Contests
German National Olympiad
2001 German National Olympiad
1
1
Part of
2001 German National Olympiad
Problems
(1)
x^4 -40x^2 +q = 0 has 4 roots in arithmetic progression
Source: Germany 2001 p1
2/23/2020
Determine all real numbers
q
q
q
for which the equation
x
4
ā
40
x
2
+
q
=
0
x^4 -40x^2 +q = 0
x
4
ā
40
x
2
+
q
=
0
has four real solutions which form an arithmetic progression
Arithmetic Progression
Real Roots
polynomial
algebra
arithmetic sequence