document.write( "Question 18391: Solve by factoring and using the principle of zero products.\r
\n" ); document.write( "\n" ); document.write( "Twenty more than the square of a number is twelve times the number. Find all such numbers. \n" ); document.write( "

Algebra.Com's Answer #8791 by Earlsdon(6294) $\"\"$ $\"About$

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Twenty more than the square of a number $\"%28n%5E2%2B20%29\"$ is (=) 12 times the number $\"%2812n%29\"$ . Write the equation:\r
\n" ); document.write( "\n" ); document.write( " $\"n%5E2%2B20+=+12n\"$ Write in standard form.
\n" ); document.write( " $\"n%5E2+-+12n+%2B+20+=+0\"$ Factor.
\n" ); document.write( " $\"%28n-10%29%28n-2%29+=+0\"$ Apply the principle of zero products.
\n" ); document.write( " $\"n-10+=+0\"$ and/or $\"n-2+=+0\"$
\n" ); document.write( "If $\"n-10+=+0\"$ , then $\"n+=+10\"$
\n" ); document.write( "If $\"n-2+=+0\"$ , then $\"n+=+2\"$ \r
\n" ); document.write( "\n" ); document.write( "The numbers are: 2 and 10 \n" ); document.write( "

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