MathDB
Counting solutions

Source: AHSME 1986 problem 30

October 2, 2011
inequalitiesAMC

Problem Statement

The number of real solutions (x,y,z,w)(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
<spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 2<spanclass=latexbold>(C)</span> 4<spanclass=latexbold>(D)</span> 8<spanclass=latexbold>(E)</span> 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