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2021 MMATHS
1
MMATHS 2021, TB Problem 1: Weird Roots Sum
MMATHS 2021, TB Problem 1: Weird Roots Sum
Source:
October 31, 2021
Yale
MMATHS
Problem Statement
Let
a
,
b
,
c
a,b,c
a
,
b
,
c
be the roots of the polynomial
x
3
−
20
x
2
+
22.
x^3 - 20x^2 + 22.
x
3
−
20
x
2
+
22.
Find
b
c
a
2
+
a
c
b
2
+
a
b
c
2
.
\frac{bc}{a^2}+\frac{ac}{b^2}+\frac{ab}{c^2}.
a
2
b
c
+
b
2
a
c
+
c
2
ab
.
Proposed by Deyuan Li and Andrew Milas
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