document.write( "Question 286564: among all pairs of positive numbers whose sum is 14, find the smallest sum of squares \n" ); document.write( "
Algebra.Com's Answer #207853 by richwmiller(17219)\"\" \"About 
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x+y=14
\n" ); document.write( "x>0
\n" ); document.write( "y>0
\n" ); document.write( "x^2+y^2=z
\n" ); document.write( "if x=y then 7 and 7 and the sum of squares is 49+49= 98
\n" ); document.write( "otherwise the smallest sum of squares is 100 for 36 and 64 for numbers 6 and 8
\n" ); document.write( "1 13 1 169=170
\n" ); document.write( "2 12 4+ 144=148
\n" ); document.write( "3 11 9+121=130
\n" ); document.write( "4 10 16 +100=116
\n" ); document.write( "5 9 25+81=106
\n" ); document.write( "6 8 36+64=100
\n" ); document.write( "7 7 49+49
\n" ); document.write( "They repeat
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