MathDB
Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2009 National Olympiad First Round
6
6
Part of
2009 National Olympiad First Round
Problems
(1)
a^2b + ab^2 = 2009201020092010
Source: 0
4/28/2009
How many ordered integer pairs of
(
a
,
b
)
(a,b)
(
a
,
b
)
satisfying a^2b \plus{} ab^2 \equal{} 2009201020092010 ?
<
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(
A
)
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4
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(
B
)
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2
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(
C
)
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1
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(
D
)
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0
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(
E
)
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None
<span class='latex-bold'>(A)</span> 4 \qquad<span class='latex-bold'>(B)</span>\ 2 \qquad<span class='latex-bold'>(C)</span>\ 1 \qquad<span class='latex-bold'>(D)</span>\ 0 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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(
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)
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4
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(
B
)
<
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2
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(
C
)
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1
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(
D
)
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0
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>
(
E
)
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>
None
modular arithmetic