Results 1 to 2 of 2

Math Help - The equation

  1. #1
    Member
    Joined
    Nov 2006
    Posts
    152

    The equation

    The equation

    [x^{10}+(13x-1)^{10}=0

    has 10 complex roots

    r_1, \overline{r_1}, r_2, \overline{r_2}, r_3, \overline{r_3}, r_4, \overline{r_4}, r_5, \overline{r_5},,

    where the bar denotes complex conjugation. Find the value of

    \frac 1{r_1\overline{r_1}}+\frac 1{r_2\overline{r_2}}+\frac 1{r_3\overline{r_3}}+\frac 1{r_4\overline{r_4}}+\frac 1{r_5\overline{r_5}}.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Feb 2008
    Posts
    12
    The solution is 850. Use the sum and the product of the roots of a polynomial rules.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 11th 2011, 02:17 AM
  2. Partial differential equation-wave equation - dimensional analysis
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 28th 2009, 12:39 PM
  3. Replies: 2
    Last Post: May 18th 2009, 01:51 PM
  4. Replies: 2
    Last Post: April 28th 2009, 07:42 AM
  5. Replies: 1
    Last Post: October 23rd 2008, 04:39 AM

Search Tags


/mathhelpforum @mathhelpforum