document.write( "Question 1115200: Among all pairs of numbers (x,y) such that 2x+y=16, find the pair for which the sum of squares, x2+y2, is minimum. Write your answers as fractions reduced to lowest terms. \n" ); document.write( "
Algebra.Com's Answer #730100 by josgarithmetic(39617)\"\" \"About 
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\"x%5E2%2By%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%2816-2x%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%2816%5E2-64x%2B4x%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%5E2-64x%2B16%5E2\"\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2Fdx%29%285x%5E2-64x%2B16%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"10x-64\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let expression for derivative be 0.
\n" ); document.write( "\"10x-64=0\"\r
\n" ); document.write( "\n" ); document.write( "\"10x=64\"\r
\n" ); document.write( "\n" ); document.write( "\"x=64%2F10\"\r
\n" ); document.write( "\n" ); document.write( "\"x=32%2F5=6%262%2F5\"
\n" ); document.write( "-
\n" ); document.write( "\"y=16-2x\"
\n" ); document.write( "\"y=16-2%2832%2F5%29\"
\n" ); document.write( "\"y=16-64%2F5\"
\n" ); document.write( "\"y=3%261%2F5\"\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "The two numbers x and y
\n" ); document.write( "( 6&2/5, 3&1/5 )
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