document.write( "Question 894092: The sum of the digits of a certain two-digit number is 15 while the product is 56. Find the numbers involving quadratic equation. \n" ); document.write( "

Algebra.Com's Answer #541763 by Fombitz(32388) $\"\"$ $\"About$

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$\"A%2BB=15\"$
\n" ); document.write( " $\"A%2AB=56\"$
\n" ); document.write( "From the first equation,
\n" ); document.write( " $\"A=15-B\"$
\n" ); document.write( "Substitute into the second,
\n" ); document.write( " $\"15-B%29B=56\"$
\n" ); document.write( " $\"15B-B%5E2=56\"$
\n" ); document.write( " $\"B%5E2-15B%2B56=0\"$
\n" ); document.write( " $\"%28B-7%29%28B-8%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"B-7=0\"$
\n" ); document.write( " $\"B=7\"$
\n" ); document.write( "then,
\n" ); document.write( " $\"A=56%2F7=8\"$
\n" ); document.write( "and
\n" ); document.write( " $\"B-8=0\"$
\n" ); document.write( " $\"B=8\"$
\n" ); document.write( "then,
\n" ); document.write( " $\"A=56%2F8=7\"$
\n" ); document.write( "The two numbers are 7 and 8. \n" ); document.write( "

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