Proportion/Intermediate

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Page

Toolbox

Search

Proportion/Intermediate

Problem

Solution