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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |