Homework Statement
By using the Lagrange multipliers find the extrema of the following function:
f(x,y)=x+y
subject to the constraints:
x2+y2+z2=1
y+z=12. The attempt at a solution
Using lambda = 1/(2x) I got x=y-z and y=1-z
plugging that into the first constraint, I got:
6y^2-6y+1=0 which...