SOLUTION: among all pairs of positive numbers whose sum is 14, find the smallest sum of squares

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Question 286564: among all pairs of positive numbers whose sum is 14, find the smallest sum of squares
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=14
x>0
y>0
x^2+y^2=z
if x=y then 7 and 7 and the sum of squares is 49+49= 98
otherwise the smallest sum of squares is 100 for 36 and 64 for numbers 6 and 8
1 13 1 169=170
2 12 4+ 144=148
3 11 9+121=130
4 10 16 +100=116
5 9 25+81=106
6 8 36+64=100
7 7 49+49
They repeat