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Turkey Contests
National Olympiad First Round
2012 National Olympiad First Round
19
19
Part of
2012 National Olympiad First Round
Problems
(1)
Turkish NMO First Round - 2012 Problem - 19 {Algebra}
Source:
7/1/2012
What is the sum of real roots of the equation
x
4
−
7
x
3
+
14
x
2
−
14
x
+
4
=
0
x^4-7x^3+14x^2-14x+4=0
x
4
−
7
x
3
+
14
x
2
−
14
x
+
4
=
0
?
<
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(
A
)
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1
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(
B
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2
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(
C
)
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3
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x
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b
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>
(
D
)
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4
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(
E
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5
<span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 5
<
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p
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c
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a
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(
A
)
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>
1
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=
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−
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′
>
(
B
)
<
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>
2
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=
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−
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>
(
C
)
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>
3
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=
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x
−
b
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′
>
(
D
)
<
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an
>
4
<
s
p
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a
ss
=
′
l
a
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x
−
b
o
l
d
′
>
(
E
)
<
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>
5
quadratics
algebra