document.write( "Question 369796: the product of two consecutive positive integers is 29 more than their sum. find the integers. \n" ); document.write( "

Algebra.Com's Answer #263513 by robertb(5830) $\"\"$ $\"About$

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let x = 1st positive integer
\n" ); document.write( "x + 1 = next positive integer
\n" ); document.write( "Then x(x+1) = x+x+1 +29.
\n" ); document.write( " $\"x%5E2+%2B+x+=+2x+%2B+30\"$
\n" ); document.write( " $\"x%5E2+-+x-30+=+0\"$
\n" ); document.write( " $\"%28x-6%29%28x%2B5%29+=+0\"$
\n" ); document.write( "The answer is only x = 6. (Why?)
\n" ); document.write( "Therefore the integers are 6 and 7. \n" ); document.write( "

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