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2013 Stanford Mathematics Tournament
23
23
Part of
2013 Stanford Mathematics Tournament
Problems
(1)
2013 General Problem 23
Source:
2/4/2013
Let
a
a
a
and
b
b
b
be the solutions to
x
2
ā
7
x
+
17
=
0
x^2-7x+17=0
x
2
ā
7
x
+
17
=
0
. Compute
a
4
+
b
4
a^4+b^4
a
4
+
b
4
.
Vieta