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National and Regional Contests
Turkey Contests
National Olympiad First Round
2014 National Olympiad First Round
19
19
Part of
2014 National Olympiad First Round
Problems
(1)
P19 [Algebra] - Turkish NMO 1st Round - 2014
Source:
5/23/2014
What is the largest possible value of
x
2
+
2
x
+
6
x
2
+
x
+
5
\dfrac{x^2+2x+6}{x^2+x+5}
x
2
+
x
+
5
x
2
+
2
x
+
6
where
x
x
x
is a positive real number?
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A
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14
11
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9
7
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C
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13
10
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D
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4
3
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None of the preceding
<span class='latex-bold'>(A)</span>\ \dfrac{14}{11} \qquad<span class='latex-bold'>(B)</span>\ \dfrac{9}{7} \qquad<span class='latex-bold'>(C)</span>\ \dfrac{13}{10} \qquad<span class='latex-bold'>(D)</span>\ \dfrac{4}{3} \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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11
14
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B
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7
9
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10
13
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D
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3
4
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(
E
)
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None of the preceding