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Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1986 AMC 12/AHSME
30
30
Part of
1986 AMC 12/AHSME
Problems
(1)
Counting solutions
Source: AHSME 1986 problem 30
10/2/2011
The number of real solutions
(
x
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(x,y,z,w)
(
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y
,
z
,
w
)
of the simultaneous equations 2y = x + \frac{17}{x}, 2z = y + \frac{17}{y}, 2w = z + \frac{17}{z}, 2x = w + \frac{17}{w} is
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4
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8
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16
<span class='latex-bold'>(A)</span>\ 1\qquad<span class='latex-bold'>(B)</span>\ 2\qquad<span class='latex-bold'>(C)</span>\ 4\qquad<span class='latex-bold'>(D)</span>\ 8\qquad<span class='latex-bold'>(E)</span>\ 16
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8
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16
inequalities
AMC