Difference between revisions of "Proportion/Intermediate"

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[[Category:Intermediate Algebra Problems]]

Revision as of 12:00, 23 November 2007

Problem

$x$ is directly proportional to the sum of the squares of $y$ and $z$ and inversely proportional to $y$ and the square of $z$. If $x = 8$ when $y = 1/2$ and $z = \sqrt {3}/2$, find $y$ when $x = 1$ and $z = 6$. (Thanks to Bicameral of the AoPS forum for this one)

Solution

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