Results 1 to 2 of 2

Math Help - number theory

  1. #1
    Newbie
    Joined
    Jan 2011
    Posts
    11

    number theory

    1) Find the minimum value of (x^2)+(y^2)+(z^2)/2,such that x+y+z=10.
    2) If x+y+z=2, (x^2)+(y^2)+(z^2)=4, show that (x^3)+(y^3)+(z^3)> or =8
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member roninpro's Avatar
    Joined
    Nov 2009
    Posts
    485
    Are there any restrictions on x,y,z? (Do they have to be integers?) If not, you can just use Lagrange Multipliers.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Textbooks on Galois Theory and Algebraic Number Theory
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: July 8th 2011, 06:09 PM
  2. Replies: 2
    Last Post: December 18th 2008, 05:28 PM
  3. number theory
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: December 9th 2008, 06:00 AM
  4. Number Theory GCD
    Posted in the Number Theory Forum
    Replies: 5
    Last Post: July 9th 2008, 10:57 PM
  5. Number theory, prime number
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: September 17th 2006, 08:11 PM

Search Tags


/mathhelpforum @mathhelpforum