Results 1 to 4 of 4

Math Help - Simplifying equations

  1. #1
    Member
    Joined
    Nov 2009
    Posts
    75

    Simplifying equations

    hi all,
    i wasnt sure what to put as the title of this thread. please see the attached file. im trying for hours how to simplify the equation on the LHS
    cant see how its done
    is it, quadratic equation? a simple trick? anything else?
    any help, i would be thankful ! : )


    thanks for reading this thread ; )

    Attached Thumbnails Attached Thumbnails Simplifying equations-equation.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by matlabnoob View Post
    hi all,
    i wasnt sure what to put as the title of this thread. please see the attached file. im trying for hours how to simplify the equation on the LHS
    cant see how its done
    is it, quadratic equation? a simple trick? anything else?
    any help, i would be thankful ! : )


    thanks for reading this thread ; )
    Something that pops out at me immediately is

    \sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}

    Not sure how that fits in with proving or disproving the identity though.

    Edit: Maybe they just threw that in for no reason. Unless there is a summation interpretation? Proving the identity is easy, as mr fantastic's post shows.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by matlabnoob View Post
    hi all,
    i wasnt sure what to put as the title of this thread. please see the attached file. im trying for hours how to simplify the equation on the LHS
    cant see how its done
    is it, quadratic equation? a simple trick? anything else?
    any help, i would be thankful ! : )


    thanks for reading this thread ; )
    Left Hand Side = \frac{1}{3} \frac{n(n+1)(2n+1)}{n^3} = \frac{1}{3} \frac{n}{n} \frac{(n+1)}{n} \frac{(2n+1)}{n} = Right Hand Side.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Nov 2009
    Posts
    75
    aaah.. thanks ! that was simple : )
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simplifying equations
    Posted in the Algebra Forum
    Replies: 5
    Last Post: January 21st 2010, 02:01 AM
  2. Simplifying Equations
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 19th 2010, 07:19 PM
  3. simplifying equations
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: August 11th 2009, 07:48 PM
  4. Simplifying Equations
    Posted in the Algebra Forum
    Replies: 2
    Last Post: July 4th 2009, 01:30 PM
  5. Simplifying Equations
    Posted in the Algebra Forum
    Replies: 9
    Last Post: December 26th 2007, 09:49 AM

Search Tags


/mathhelpforum @mathhelpforum