document.write( "Question 468294: the product of 2 numbers is 126 difference between those 2 numbers is 5.
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Algebra.Com's Answer #321322 by Earlsdon(6294) $\"\"$ $\"About$

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...and the question is???
\n" ); document.write( "What are the two numbers!
\n" ); document.write( "Let a, and b be the two numbers, then:
\n" ); document.write( "1) $\"a%2Ab+=+126\"$ \"The product of 2 numbers is 126.\"
\n" ); document.write( "2) $\"a-b+=+5\"$ \"...difference between those 2 numbers is 5.\"
\n" ); document.write( "Rewrite equation 2) as:
\n" ); document.write( "2a) $\"a+=+b%2B5\"$ and substitute for a in equation 1).
\n" ); document.write( "1a) $\"%28b%2B5%29%2Ab+=+126\"$ Simplify.
\n" ); document.write( "1b) $\"b%5E2%2B5b+=+126\"$ Subtract 126 from both sides.
\n" ); document.write( "1c) $\"b%5E2%2B5b-126+=+0\"$ Factor the left side.
\n" ); document.write( "1d) $\"%28b-9%29%28b%2B14%29+=+0\"$ Apply the \"zero product\" rule.
\n" ); document.write( "1e) $\"b-9+=+0\"$ or $\"b%2B14+=+0\"$ so...
\n" ); document.write( " $\"b+=+9\"$ or $\"b+=+-14\"$
\n" ); document.write( "If $\"b+=+9\"$ and $\"a+=+b%2B5\"$ , then $\"a+=+14\"$
\n" ); document.write( "The 2 numbers are:
\n" ); document.write( "9 and 14 \n" ); document.write( "

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