MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad
1992 All Soviet Union Mathematical Olympiad
576
576
Part of
1992 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 576 Commonwealth of Independent States 1991 cubics x=p(y), y=p(x)
Source:
8/15/2019
If you have an algorithm for finding all the real zeros of any cubic polynomial, how do you find the real solutions to
x
=
p
(
y
)
,
y
=
p
(
x
)
x = p(y), y = p(x)
x
=
p
(
y
)
,
y
=
p
(
x
)
, where
p
p
p
is a cubic polynomial?
Cubic
polynomial
algebra