document.write( "Question 134130: Hello,
\n" ); document.write( "Could you please help me with this problem about integers? I have no clue on how to find them, I dont know the formula or how to solve this word problem equation...any help would be appreciated.\r
\n" ); document.write( "\n" ); document.write( "The product of two consecutive odd integers is 1 less than 3 times their sum. Find the integers. \r
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\n" ); document.write( "\n" ); document.write( "Thank you so much,
\n" ); document.write( "Mrs. Gibson
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Algebra.Com's Answer #98091 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The odd integers are spaced every 2 numbers
\n" ); document.write( "\"1%2C3%2C5%2C7%2C9\". . .etc.
\n" ); document.write( "Call the smallest odd integer \"n\"
\n" ); document.write( "The next odd integer will be \"n+%2B+2\"
\n" ); document.write( "The product of these integers is \"n%2A%28n+%2B+2%29\"
\n" ); document.write( "Three times their sum is \"3%2A%28n+%2B+%28n+%2B2%29%29\"
\n" ); document.write( "\"n%2A%28n%2B2%29+=+3%2A%28n+%2B+%28n+%2B+2%29%29+-+1\"
\n" ); document.write( "\"n%5E2+%2B+2n+=+3%2A%282n+%2B+2%29+-+1\"
\n" ); document.write( "\"n%5E2+%2B+2n+=+6n+%2B+6+-+1\"
\n" ); document.write( "\"n%5E2+-+4n+-+5+=+0\"
\n" ); document.write( "\"%28n+-+5%29%28n+%2B+1%29+=+0\"
\n" ); document.write( "\"n+=+5\"
\n" ); document.write( "\"n+=+-1\" This choice is not what is wanted
\n" ); document.write( "If \"n+=+5\", then
\n" ); document.write( "\"n+%2B+2+=+7\"
\n" ); document.write( "The integers are 5 and 7
\n" ); document.write( "check answer
\n" ); document.write( "\"n%2A%28n%2B2%29+=+3%2A%28n+%2B+%28n+%2B+2%29%29+-+1\"
\n" ); document.write( "\"5%2A%285%2B2%29+=+3%2A%285+%2B+%285+%2B+2%29%29+-+1\"
\n" ); document.write( "\"35+=+3%2A%2812%29+-+1\"
\n" ); document.write( "\"35+=+36+-+1\"
\n" ); document.write( "\"35+=+35\"
\n" ); document.write( "OK
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