Results 1 to 3 of 3

Math Help - multiple roots

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    1

    multiple roots

    need help
    (x - 1)^3 - (x - 1)^2 = 0


    Its really frustrating, please help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jul 2008
    Posts
    46
    A common factor is (x-1)^2. You can therefore rewrite the equations as:

    (x-1)^2(x-1+1)=(x-1)^2x=0

    You should see that the solution has 2 distinct roots, with one repeated.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor chiph588@'s Avatar
    Joined
    Sep 2008
    From
    Champaign, Illinois
    Posts
    1,163
    it should be  (x-1)^3-(x-1)^2 = (x-1)^2(x-1-1) = (x-1)^2(x-2) = 0

    but yes there is a repeated root
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. No multiple roots in R
    Posted in the Advanced Algebra Forum
    Replies: 12
    Last Post: January 8th 2011, 12:46 PM
  2. multiple roots polynomial
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 28th 2010, 10:24 AM
  3. Polynomtials with multiple roots
    Posted in the Number Theory Forum
    Replies: 24
    Last Post: May 30th 2010, 08:38 PM
  4. multiple roots
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: April 25th 2010, 12:00 PM
  5. Replies: 4
    Last Post: April 23rd 2009, 05:59 AM

Search Tags


/mathhelpforum @mathhelpforum