Results 1 to 1 of 1

Math Help - Thinking problem [Newton's Polynomial]

  1. #1
    Junior Member
    Joined
    Jun 2010
    Posts
    44

    Thinking problem [Newton's Polynomial]

    I hope this is the right section where i should post this.

    The translation:

    Let a, b, c be the coeff. of a 2nd degree equation ax^2+bx+c=0 with x and y as roots (real numbers or complex). For any n (natural number), without solving the equation determine S_n=x^n+y^n. "par" means even, "impar" means odd



    I used newton's polynomial to expand (x+y)^n and it gave me that sum or whatever. For n = 2 and n = 3 i got the result from Viete's formulas. For n > 3 it's a long story . I had to brake it into two...for even number and odd numbers, otherwise i couldn't find a general form for Sn.

    I still got the paper where i solved using newton for n = 4, 5, 6, 7 ... and from there i could deduce a general formula.

    I want to know one thing: Is it correct?

    I hope you "understand" my question...

    Damn... picture too big for LATEX... here it is: http://img189.imageshack.us/img189/3...3fwe525252.jpg
    Last edited by Utherr; June 26th 2010 at 01:04 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 5th 2009, 03:11 PM
  2. Replies: 2
    Last Post: October 2nd 2008, 03:08 AM
  3. Wishful Thinking Possible for this problem?
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 10th 2008, 04:58 AM
  4. Replies: 2
    Last Post: October 31st 2007, 11:54 PM
  5. critical thinking trig problem
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 6th 2007, 12:54 PM

Search Tags


/mathhelpforum @mathhelpforum