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Sums of Squares

by pi_kid
Tags: squares, sums
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pi_kid
#1
Mar17-11, 10:17 PM
P: 1
I'm having some trouble with a particular question brought up in class. It says given F(n)= to the total # of integer solutions what is the smallest n such that F(n)=24. I know how to find F(n) given n, but i can't figure out how to work backwards. Any hints would help.
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mathman
#2
Mar18-11, 04:24 PM
Sci Advisor
P: 6,077
"integer solutions" to what????
galoisjr
#3
Mar18-11, 04:45 PM
P: 36
By sums of squares it depends on the amount of terms your adding. There is no answer for 2 squares to equal 24 but for 3 squares theres 4^2+2^2+2^2 and then for 6 squares it could be 2^2+2^2+2^2+2^2+2^2+2^2 so i would guess 2? Please fully explain the problem though.


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