MathDB
Problems
Contests
Undergraduate contests
Putnam
2022 Putnam
A1
A1
Part of
2022 Putnam
Problems
(1)
2022 Putnam A1
Source:
12/4/2022
Determine all ordered pairs of real numbers
(
a
,
b
)
(a,b)
(
a
,
b
)
such that the line
y
=
a
x
+
b
y=ax+b
y
=
a
x
+
b
intersects the curve
y
=
ln
(
1
+
x
2
)
y=\ln(1+x^2)
y
=
ln
(
1
+
x
2
)
in exactly one point.
Putnam
Putnam 2022