document.write( "Question 251985: \"Word Problems Involving Products and Factoring\"\r
\n" ); document.write( "\n" ); document.write( "Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much
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Algebra.Com's Answer #183725 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Let the two numbers be x and x+1
\n" ); document.write( "Their sum is 2x+1
\n" ); document.write( "Their difference is 1\r
\n" ); document.write( "\n" ); document.write( "You are told
\n" ); document.write( "\"%28sum%2Adifference%29%2B8+=+x%5E2+%2B+%28x%2B1%29%5E2\"
\n" ); document.write( "\"%28%282x%2B1%29%2A1%29+%2B+8+=+x%5E2+%2B+x%5E2+%2B+2x+%2B+1\"
\n" ); document.write( "\"2x%2B9+=+2x%5E2+%2B+2x+%2B+1\"
\n" ); document.write( "\"0+=+2x%5E2+-8\"
\n" ); document.write( "\"0+=+x%5E2+-4\"
\n" ); document.write( "\"0+=+%28x%2B2%29%28x-2%29\"
\n" ); document.write( "so x = either -2 or 2.
\n" ); document.write( "You are told the number is positive, so x must be 2 and x+1 = 3\r
\n" ); document.write( "\n" ); document.write( "Check your answer. Is 13 = 4+9?
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