Results 1 to 2 of 2

Math Help - problem

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    7

    problem

    Consider the following equation
    (2 − i)Z^9 + 5Z^8 − (1 + 2i)Z^7 + 7Z^2 − 2Z + 17 = 0.
    This equation has 9 zeros, Z1,Z2, . . . ,Z9.
    a) Find the sum of different pairs of these zeros,

    \sum1=<j<k=<9 ZjZk.
    b) Find the sum of the squares of these zeros,

    \sumn=1 Z2n
    .
    c) Find the sum of the cubes of these zeros,

    \summ=1 Z3m
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member DeMath's Avatar
    Joined
    Nov 2008
    From
    Moscow
    Posts
    473
    Thanks
    5
    Quote Originally Posted by ohadch View Post
    Consider the following equation
    (2 − i)Z^9 + 5Z^8 − (1 + 2i)Z^7 + 7Z^2 − 2Z + 17 = 0.
    This equation has 9 zeros, Z1,Z2, . . . ,Z9.
    a) Find the sum of different pairs of these zeros,

    \sum1=<j<k=<9 ZjZk.
    b) Find the sum of the squares of these zeros,

    \sumn=1 Z2n
    .
    c) Find the sum of the cubes of these zeros,

    \summ=1 Z3m
    See Vičte's formulas - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum