document.write( "Question 206937: the sum of two numbers is 23 and their products is 132. find the two numbers.
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Algebra.Com's Answer #156455 by Earlsdon(6294) $\"\"$ $\"About$

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Let the two numbers be x and y, then...
\n" ); document.write( "1) $\"x%2By+=+23\"$ \"the sum of two numbers is 23..\"
\n" ); document.write( "2) $\"x%2Ay+=+132\"$ \"...their product is 132.\"
\n" ); document.write( "Rewrite equation 1) as: $\"x+=+23-y\"$ and substitute this for x into equation 2).
\n" ); document.write( "2a) $\"%2823-y%29%2AY+=+132\"$ Solve for y.
\n" ); document.write( "2a) $\"23y-y%5E2+=+132\"$ Rearrange into standard quadratic form.
\n" ); document.write( "2a) $\"y%5E2-23y%2B132+=+0\"$ Factor.
\n" ); document.write( "2a) $\"%28y-12%29%28y-11%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"y-12+=+0\"$ or $\"y-11+=+0\"$ which means that:
\n" ); document.write( " $\"y+=+12\"$ or $\"y+=+11\"$
\n" ); document.write( "The two numbers are 11 and 12. \n" ); document.write( "

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