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Problem 2
x^4-2ax^2+x+a^2-a=0
x^4-2ax^2+x+a^2-a=0
Source: Croatia 1999 2nd Grade P2
May 17, 2021
algebra
Problem Statement
For a real parameter
a
a
a
, solve the equation
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
. Find all
a
a
a
for which all solutions are real.
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