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5
2014 HMMT #5: sum of real roots
2014 HMMT #5: sum of real roots
Source:
February 23, 2014
HMMT
quadratics
function
Problem Statement
Find the sum of all real numbers
x
x
x
such that
5
x
4
−
10
x
3
+
10
x
2
−
5
x
−
11
=
0
5x^4-10x^3+10x^2-5x-11=0
5
x
4
−
10
x
3
+
10
x
2
−
5
x
−
11
=
0
.
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