- #1

- 479

- 4

## Homework Statement

Minimise = x

^{2}+ y

^{2}subject to C(x,y) = 4x

^{2}+ 3y

^{2}= 12.

## Homework Equations

## The Attempt at a Solution

I let h(x,y) = x

^{2}+ y

^{2}+ [tex]\lambda[/tex](4x

^{2}+ 3y

^{2}- 12).

I got h

_{x}= 2x + 8[tex]\lambda[/tex]x = 0, h

_{y}= 2y + 6[tex]\lambda[/tex]y = 0, but here I get 2 values of [tex]\lambda[/tex], [tex]\lambda[/tex] = -1/4 & -1/3. So I don't get a min/max value.