MathDB
Problems
Contests
National and Regional Contests
Kyrgyzstan Contests
Kyrgyzstan National Olympiad
2009 Kyrgyzstan National Olympiad
2
2
Part of
2009 Kyrgyzstan National Olympiad
Problems
(1)
Rational numbers
Source:
4/23/2009
x
x
x
and
y
y
y
are real numbers.
A
)
A)
A
)
If it is known that x \plus{} y and x \plus{} y^2 are rational numbers, can we conclude that
x
x
x
and
y
y
y
are also rational numbers.
B
)
B)
B
)
If it is known that x \plus{} y , x \plus{} y^2 and x \plus{} y^3 are rational numbers, can we conclude that
x
x
x
and
y
y
y
are also rational numbers.