Results 1 to 6 of 6

Math Help - Greates Integer Question

  1. #1
    Junior Member
    Joined
    Sep 2009
    From
    Vadodara,Gujarat,India
    Posts
    33

    Question Greates Integer Question

    How to solve this question
    greatest_integer(x^2) = greatest_integer(x+2)
    ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28

    Re: Greates Integer Question

    You are after the largest solution to this which is also an integer?

    If so solve \displaystyle x^2-x-2 = 0
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2009
    From
    Vadodara,Gujarat,India
    Posts
    33

    Re: Greates Integer Question

    No, I need all the possible values of x ( for which the eqn holds true)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Sep 2009
    From
    Vadodara,Gujarat,India
    Posts
    33

    Re: Greates Integer Question

    Greatest_Integer here means the "Greatest Integer Function" ( i dont know how to express it in its form in the forum)
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28

    Re: Greates Integer Question

    Quote Originally Posted by anshulbshah View Post
    No, I need all the possible values of x ( for which the eqn holds true)
    Like this?

    \displaystyle x^2 = x+2

    \displaystyle x^2-x-2 = 0

    \displaystyle (x-2)(x+1) = 0

    Now use the null factor law.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Senior Member
    Joined
    Nov 2010
    From
    Clarksville, ARk
    Posts
    398

    Re: Greates Integer Question

    Quote Originally Posted by pickslides View Post
    Like this?

    \displaystyle x^2 = x+2

    \displaystyle x^2-x-2 = 0

    \displaystyle (x-2)(x+1) = 0

    Now use the null factor law.
    The two solutions that result from pickslides's post are integers, so the greatest integer function will not change them.

    Now, investigate values of x very nearby these two solutions to see if they will work.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 13
    Last Post: August 3rd 2010, 04:16 AM
  2. Positive integer n question help please
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 9th 2009, 05:14 AM
  3. need on "greates Integer function"
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: April 23rd 2009, 01:30 PM
  4. Integer Progamming Question
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: March 5th 2009, 02:03 PM
  5. What is the greates positive integer...
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: December 13th 2006, 05:58 PM

Search Tags


/mathhelpforum @mathhelpforum