MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Stanford Mathematics Tournament
2007 Stanford Mathematics Tournament
2
SMT 2007 Algebra #2
SMT 2007 Algebra #2
Source:
June 27, 2012
Problem Statement
Given that
x
1
>
0
x_1>0
x
1
>
0
and
x
2
=
4
x
1
x_2=4x_1
x
2
=
4
x
1
are solutions to
a
x
2
+
b
x
+
c
ax^2+bx+c
a
x
2
+
b
x
+
c
and that
3
a
=
2
(
c
−
b
)
3a=2(c-b)
3
a
=
2
(
c
−
b
)
, what is
x
1
x_1
x
1
?
Back to Problems
View on AoPS