Difference between revisions of "1986 AHSME Problems/Problem 30"

(Created page with "==Problem== The number of real solutions <math>(x,y,z,w)</math> of the simultaneous equations <math>2y = x + \frac{17}{x}, 2z = y + \frac{17}{y}, 2w = z + \frac{17}{z}, 2x = w +...")
 
(Problem)
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<math>\textbf{(A)}\ 1\qquad
 
<math>\textbf{(A)}\ 1\qquad
 
\textbf{(B)}\ 2\qquad
 
\textbf{(B)}\ 2\qquad
\textbf{(C)}\ 4\qquad
+
\textbf{(C)}\ 4\qquad yuck
 
\textbf{(D)}\ 8\qquad
 
\textbf{(D)}\ 8\qquad
 
\textbf{(E)}\ 16  </math>
 
\textbf{(E)}\ 16  </math>

Revision as of 20:24, 17 July 2015

Problem

The number of real solutions $(x,y,z,w)$ 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

$\textbf{(A)}\ 1\qquad \textbf{(B)}\ 2\qquad \textbf{(C)}\ 4\qquad yuck \textbf{(D)}\ 8\qquad \textbf{(E)}\ 16$

Solution

See also

1986 AHSME (ProblemsAnswer KeyResources)
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Problem 29
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