document.write( "Question 869065: Find two positive numbers whose product is 25 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.) \n" ); document.write( "

Algebra.Com's Answer #524008 by Fombitz(32388) $\"\"$ $\"About$

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Let the two numbers be A and B.
\n" ); document.write( " $\"AB=25\"$
\n" ); document.write( "You want to minimize the sum,
\n" ); document.write( " $\"S=A%2BB\"$
\n" ); document.write( " $\"S=A%2B25%2FA\"$
\n" ); document.write( " $\"dS%2FdA=1-25%2FA%5E2=0\"$
\n" ); document.write( " $\"1=25%2FA%5E2\"$
\n" ); document.write( " $\"A%5E2=25\"$
\n" ); document.write( " $\"A=5\"$
\n" ); document.write( " $\"B=5\"$
\n" ); document.write( " \n" ); document.write( "

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