document.write( "Question 144682: If 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189. What is the number? \n" ); document.write( "

Algebra.Com's Answer #105425 by solver91311(24713) $\"\"$ $\"About$

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The number: $\"x\"$
\n" ); document.write( "6 added to the number (the sum): $\"x+%2B+6\"$
\n" ); document.write( "6 subtracted from the number (the difference): $\"x+-+6\"$
\n" ); document.write( "Product of the sum and difference is 189: $\"%28x%2B6%29%28x-6%29=189\"$ \r
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\n" ); document.write( "\n" ); document.write( "So: $\"x%5E2-36=189\"$
\n" ); document.write( " $\"x%5E2=225\"$
\n" ); document.write( " $\"x=15\"$ or $\"x=-15\"$ \r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( " $\"15+%2B+6+=+21\"$
\n" ); document.write( " $\"15+-+6+=+9\"$
\n" ); document.write( " $\"21+%2A+9+=+189\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"-15+%2B+6+=+-9\"$
\n" ); document.write( " $\"-15+-+6+=+-21\"$
\n" ); document.write( " $\"-9+%2A+-21+=+189\"$ \r
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