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Peru Cono Sur TST
2003 Peru Cono Sur TST
P1
Four real roots
Four real roots
Source: 2003 Peru Cono Sur TST P1
May 3, 2023
algebra
Problem Statement
Determine all real numbers
a
a
a
such that the equation:
x
8
+
a
x
4
+
1
=
0
x^8+ax^4+1=0
x
8
+
a
x
4
+
1
=
0
have four real roots that form an arithmetic progression.
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