# Use lagrange multipliers to find the shortest distance

## Homework Statement

Use lagrange multipliers to find the shortest distance between a point on the elliptic paraboloid z=x^2 +y^2

## 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 $$\lambda$$, 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.

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