MathDB
Problems
Contests
Undergraduate contests
Putnam
1975 Putnam
A2
A2
Part of
1975 Putnam
Problems
(1)
Putnam 1975 A2
Source: Putnam 1975
2/17/2022
Describe the region
R
R
R
consisting of the points
(
a
,
b
)
(a,b)
(
a
,
b
)
of the cartesian plane for which both (possibly complex) roots of the polynomial
z
2
+
a
z
+
b
z^2+az+b
z
2
+
a
z
+
b
have absolute value smaller than
1
1
1
.
Putnam
analytic geometry
algebra
absolute value