document.write( "Question 322756: what two numbers whose product is -56 but whose sum is 10 \n" ); document.write( "

Algebra.Com's Answer #231030 by Fombitz(32388) $\"\"$ $\"About$

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Let A and B be the numbers.
\n" ); document.write( "1. $\"A%2BB=10\"$
\n" ); document.write( "2. $\"AB=-56\"$
\n" ); document.write( "Useing eq. 1,
\n" ); document.write( " $\"A=10-B\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"%2810-B%29B=-56\"$
\n" ); document.write( " $\"10B-B%5E2=-56\"$
\n" ); document.write( " $\"B%5E2-10B-56=0\"$
\n" ); document.write( " $\"%28B-14%29%28B%2B4%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"B-14=0\"$
\n" ); document.write( " $\"B=14\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"A%2B14=10\"$
\n" ); document.write( " $\"A=-4\"$
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\n" ); document.write( " $\"B%2B4=0\"$
\n" ); document.write( " $\"B=-4\"$
\n" ); document.write( "Then from eq. 1,.
\n" ); document.write( " $\"A-4=10\"$
\n" ); document.write( " $\"A=14\"$
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\n" ); document.write( "14 and -4 are the two numbers.
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