Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Math work

  1. Sep 12, 2011 #1
    show that the square of any odd integer is odd, use this fact to justify the statement "if p2
    is even , then p is also even
     
  2. jcsd
  3. Sep 12, 2011 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    Insights Author

    Well, what did you try already??? If we know where you're stuck, then we'll know where to help...
     
  4. Sep 12, 2011 #3
    A good first step is noticing that

    ...
    -5 = 2*(-3) + 1
    -3 = 2*(-2) + 1
    -1 = 2*(-1) + 1
    1 = 2*0 + 1
    3 = 2*1 + 1
    5 = 2*2 + 1
    ...
     
  5. Sep 12, 2011 #4
    (2x+1) is odd. (2x+1)^2=4x^2+4x+1 but 4x^2+4x is even and even +1 gives odd.
    So (2x+1)^2 is odd
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Math work
  1. Math tricks for everyone (Replies: 282)

  2. Matrices math (Replies: 5)

Loading...