Recent content by snikrepmada

  1. S

    It makes logical sense but can't mathematical prove it

    There has to be a better way to solve this problem that I'm not seeing, other than guessing. When I started this problem I used the lagrange multipliers method to solve for the critical points. This led to the solution set {(1,1,-1), (1,-1,1), (-1,1,1), (3,3,3)}. Now I know that just because...
  2. S

    It makes logical sense but can't mathematical prove it

    I agree that your solution works and it satisfies the constraint. Following your logic there should be infinitely many solutions. What I think the problem writer left out was that the solution needs to be a integer. With that being said and going back to solution that was given for the...
  3. S

    It makes logical sense but can't mathematical prove it

    Homework Statement Find the minimum and maximum of the given equation, f(x,y,z)=x+y+z, with the constraint 1/x+1/y+1/z=1. Homework Equations f(x,y,z)=x+y+z, with the constraint 1/x+1/y+1/z=1. The Attempt at a Solution I know the solution, which is minimum {(1,1,-1), (1,-1,1), (-1,1,1)} and...
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