document.write( "Question 540741: the product of twop consectuive odd numbers is 10 more than the square of the smaller number .find the numbers \n" ); document.write( "

Algebra.Com's Answer #353835 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Call the consecutive odd numbers $\"n\"$ and $\"n%2B2\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+n%2A%28+n+%2B+2+%29+=+n%5E2+%2B+10+\"$
\n" ); document.write( " $\"+n%5E2+%2B+2n+=+n%5E2+%2B+10+\"$
\n" ); document.write( "Subtract $\"+n%5E2+\"$ from both sides
\n" ); document.write( " $\"+2n+=+10+\"$
\n" ); document.write( " $\"+n+=+5+\"$
\n" ); document.write( " $\"+n+%2B+2+=+7+\"$
\n" ); document.write( "The numbers are 5 and 7
\n" ); document.write( "check:
\n" ); document.write( " $\"+5%2A%28+5+%2B+2+%29+=+5%5E2+%2B+10+\"$
\n" ); document.write( " $\"+5%2A7+=+25+%2B+10+\"$
\n" ); document.write( " $\"+35+=+35+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );