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: Consecutive integers problem

  1. Jan 2, 2005 #1
    Let a, b, c and d be 4 distinct integers. Find the smallest possible value for [tex] 4(a^2 + b^2 + c^2 + d^2) - (a+b+c+d)^2 [/tex] and prove that your answer is correct.

    I got 20 as the smallest answer. Thats when u have a, b, c, and d as 4 consective integers, but i cant prove my answer. Can anyone help? Thanks :)
  2. jcsd
  3. Jan 2, 2005 #2
    Without having put a lot of thought in at all, can you not just pick numbers 2 apart e.g. 1, 3, 5 and 7 and then 3 apart and prove it that way???

    The Bob (2004 )
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook