
New Users Post up here and introduce yourself! 
 LinkBack  Thread Tools  Display Modes 
November 10th, 2011, 09:03 PM  #1 
Newbie Joined: Nov 2011 Posts: 1 Thanks: 0  Young Math Student
So my 9 yr old tonight pointed out the following. If X is any whole number and Y=X+1 Then (Y*Y)(X*X)=X+Y I have written out this equation for him but he came upon and expressed the pattern himself. Does anyone know anything about this equation. I would love to feed him some history. Thanks. Pround PAPA 
November 11th, 2011, 06:08 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 933 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Young Math Student
It's correct, and it even holds if X is a rational or real number instead of just a whole number. It would usually be expressed where is mathematical shorthand for "this thing times itself". It can be used to show a remarkable property: the sum of consecutive odd numbers (starting from 1) yields a square: and so forth. That's because to get from, say, to you need to add which is, as your 9yearold pointed out, the same as 3+4 = 7, expanding 1 + 3 + 5 to 1 + 3 + 5 + 7. Neat, huh? 

Tags 
math, student, young 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Are math and physics only for the young?  goedelite  Academic Guidance  7  January 19th, 2017 08:43 PM 
New Student  mr. jenkins  New Users  2  January 4th, 2014 07:54 PM 
TStudent  guimercante  Algebra  0  December 5th, 2013 07:49 PM 
Log help for a not so good math student!  mathworker  Algebra  5  November 18th, 2011 08:59 AM 
Thoughts on math education  From a young college student.  Jyan  Academic Guidance  1  August 23rd, 2011 02:01 PM 