document.write( "Question 369665: The product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #263426 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"A%2AB=442\"$
\n" ); document.write( "2. $\"A%2BB=43\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"A=43-B\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"%2843-B%29B=442\"$
\n" ); document.write( " $\"-B%5E2%2B43B=442\"$
\n" ); document.write( " $\"B%5E2-43B%2B442=0\"$
\n" ); document.write( "Factor,
\n" ); document.write( " $\"%28B-26%29%28B-17%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"B-26=0\"$
\n" ); document.write( " $\"B=26\"$ .
\n" ); document.write( ".
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\n" ); document.write( " $\"B-17=0\"$
\n" ); document.write( " $\"B=17\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"A=43-B=26\"$
\n" ); document.write( " $\"B=17\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"A=43-B=17\"$
\n" ); document.write( " $\"B=26\"$
\n" ); document.write( "The two numbers are 17 and 26.
\n" ); document.write( " \n" ); document.write( "

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