1. The problem statement, all variables and given/known data Use lagrange multipliers to find the shortest distance between a point on the elliptic paraboloid z=x^2 +y^2 2. Relevant equations 3. The attempt at a solution http://img716.imageshack.us/img716/7272/cci1902201000000.jpg [Broken] I'm not that good with using the equation editor, so I scanned my work. I'm stuck on the last part where i'm trying to factor the equation to find a solution for [tex]\lambda[/tex], I cant seem to find a solution that would make the equation zero, which is what i need in order to do the long division to factor that equation.