Let u and v be the solutions to 3x^2 + 5x + 11 = 0. FInd u/v + v/u.
You should know how to find u + v and uv.
Hint: u/v + v/u = (u^2 + v^2)/(uv) = ((u + v)^2 - 2uv)/(uv)
The rest is just substituting the values of u + v and uv into the expression.