MathDB
Problems
Contests
National and Regional Contests
Brazil Contests
Brazil Team Selection Test
2001 Brazil Team Selection Test
Problem 1
good
good
Source:
April 21, 2014
algebra
polynomial
algebra unsolved
Problem Statement
given that p,q are two polynomials such that each one has at least one root and
p
(
1
+
x
+
q
(
x
)
2
)
=
q
(
1
+
x
+
p
(
x
)
2
)
p(1+x+q(x)^2)=q(1+x+p(x)^2)
p
(
1
+
x
+
q
(
x
)
2
)
=
q
(
1
+
x
+
p
(
x
)
2
)
then prove that p=q
Back to Problems
View on AoPS