1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Frctional part equation

  1. Sep 7, 2013 #1
    Calculation of Real ##x## in ##\{x\} = \{x^2\} = \{x^3\}##, Where ##\{x\} = ## fractional part of ##x##

    My Try:: We Know that ##\{x\} ## and ##\{x^2\}## and ##\{x^3\}## are are ##\in \left[0,1\right)##

    So Let we take ##\{x\} = \{x^2\} = \{x^3\} = k##, where ##k\in \left[0,1\right)##

    So If ##\{x\} = k## , Then ##x-\lfloor x \rfloor = k\Rightarrow x = \lfloor x \rfloor +k##

    where ##\lfloor x \rfloor = ## floor function of ##x##

    Similarly If ##\{x^2\} = k## , Then ##x^2-\lfloor x^2 \rfloor = k\Rightarrow x^2 = \lfloor x^2 \rfloor +k##

    Sililarly If ##\{x^3\} = k## , Then ##x^3-\lfloor x \rfloor = k\Rightarrow x^3 = \lfloor x^3 \rfloor +k##

    Now How Can I proceed after that,

    plz Help me

    Thanks
     
  2. jcsd
  3. Sep 7, 2013 #2

    verty

    User Avatar
    Homework Helper

    Hint: test some values for k.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted