document.write( "Question 135568: what are the 2 consecutive odd integers who's difference of the squares is 24 \n" ); document.write( "

Algebra.Com's Answer #99323 by josmiceli(19441) $\"\"$ $\"About$

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To make sure a number is odd, call it $\"2n+%2B+1\"$ where $\"n\"$
\n" ); document.write( "is any number. Consecutive odd numbers are
\n" ); document.write( " $\"2n+%2B+1\"$ , $\"2n+%2B+3\"$
\n" ); document.write( " $\"%282n+%2B+3%29%5E2+-+%282n+%2B+1%29%5E2+=+24\"$
\n" ); document.write( " $\"4n%5E2+%2B+12n+%2B+9+-+4n%5E2+-+4n+-+1+=+24\"$
\n" ); document.write( " $\"8n+%2B+8+=+24\"$
\n" ); document.write( " $\"8n+=+16\"$
\n" ); document.write( " $\"n+=+2\"$
\n" ); document.write( " $\"2n+%2B+1+=+5\"$
\n" ); document.write( " $\"2n+%2B+3+=+7\"$
\n" ); document.write( "The numbers are 5 and 7
\n" ); document.write( "check:
\n" ); document.write( " $\"7%5E2+-+5%5E2+=+49+-+25\"$
\n" ); document.write( " $\"49+-+25+=+24\"$
\n" ); document.write( " $\"24+=+24\"$
\n" ); document.write( "OK \n" ); document.write( "

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