Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Deriving a statement

  1. Nov 27, 2009 #1
    By using appropriate theorems derive the following statement :

    [tex] a^2 + b^2 + c^2\geq ab + bc +ac[/tex]
  2. jcsd
  3. Nov 27, 2009 #2
    [tex](a-b)^2 \geq 0[/tex]
    [tex](b-c)^2 \geq 0[/tex]
    [tex](a-c)^2 \geq 0[/tex]
    Try using these identities to derive your statement. Or if you've learn about the AM-GM inequality, then use it one two variables on the right at a time (this is the same as using the identities above).
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Deriving a statement
  1. Geometry statement (Replies: 9)

  2. Unbelievable statement (Replies: 29)