MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
BMT Problems
2020 BMT Fall
2
BMT Algebra #2 - Symmetric Sum of Roots
BMT Algebra #2 - Symmetric Sum of Roots
Source:
October 11, 2020
Bmt
algebra
polynomial
sum of roots
Problem Statement
Let
a
a
a
and
b
b
b
be the roots of the polynomial
x
2
+
2020
x
+
c
x^2+2020x+c
x
2
+
2020
x
+
c
. Given that
a
b
+
b
a
=
98
\frac{a}{b}+\frac{b}{a}=98
b
a
+
a
b
=
98
, compute
c
\sqrt c
c
.
Back to Problems
View on AoPS