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National and Regional Contests
Cuba Contests
Cuba MO
2001 Cuba MO
7
7
Part of
2001 Cuba MO
Problems
(1)
x^{19} + x^{17} = x^{16 }+ x^7 + a
Source: - 2001 Cuba MO 2.7
9/15/2024
Prove that the equation
x
19
+
x
17
=
x
16
+
x
7
+
a
x^{19} + x^{17} = x^{16 }+ x^7 + a
x
19
+
x
17
=
x
16
+
x
7
+
a
for any
a
ā
R
a \in R
a
ā
R
has at least two imaginary roots
algebra
polynomial