Question 544031
{{{ W/L  = L/(W + L) }}}
{{{ W/6 = 6/(W + 6) }}}
{{{ W*(W+6) = 6*6 }}}
{{{ W^2 + 6W = 36 }}}
Complete the square
{{{ W^2 + 6W + (6/2)^2 = 36 + (6/2)^2 }}}
{{{ W^2 + 6W + 9 = 36 + 9 }}}
{{{ (W + 3)^2 = 45 }}}
Take the square root of both sdes
{{{ W + 3 = 3*sqrt(5) }}}
{{{ W = 3*sqrt(5) - 3 }}}
{{{ W = 3*( sqrt(5) - 1) }}}
{{{ W = 3*(2.236 - 1) }}}
{{{ W = 3*1.236 }}}
{{{ W = 3.708 }}} in.