- #1

phrygian

- 80

- 0

## Homework Statement

Find the point on 2x + 3y + z - 11 = 0 for which 4x^2 +y^2 +z^2 is a minimum

## Homework Equations

## The Attempt at a Solution

Using lagrange multipliers I find:

F = 4x^2 + y^2 + z^2 + l(2x + 3y + z)

Finding the partial derivatives I get the three equations:

df/dx = 8x + 2l

df/dy= 2y + 3l

df/dz= 2z + l

This is where I am stuck, what are the next steps for solving the system of equations?