document.write( "Question 1125299: Find two positive numbers satisfying the given requirements. The product is 200 and the sum is a minimum. \n" ); document.write( "

Algebra.Com's Answer #741601 by josgarithmetic(39617) $\"\"$ $\"About$

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Both numbers, $\"10%2Asqrt%282%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28xy=200%2CA=x%2By%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=200%2Fx\"$
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\n" ); document.write( " $\"A=x%2B200%2Fx\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"dA%2Fdx=1-200%2Fx%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"1-200%2Fx%5E2=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-200%29%2Fx%5E2=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-200=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=200\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=10%2Asqrt%282%29\"$
\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"y=200%2Fx\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=200%2F%2810%2Asqrt%282%29%29\"$ \r
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