document.write( "Question 530481: Hi I need help with my homework. The question is:
\n" ); document.write( "Find all pairs of consecutive integers such that the prodct of the two integers is 2 less than 2 times their sum. \n" ); document.write( "
Algebra.Com's Answer #350086 by nerdybill(7384)\"\" \"About 
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Find all pairs of consecutive integers such that the prodct of the two integers is 2 less than 2 times their sum.
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\n" ); document.write( "Let x = first of two consecutive integers
\n" ); document.write( "then
\n" ); document.write( "x+1 = second consecutive integer
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\n" ); document.write( "Then from: \"the product of the two integers is 2 less than 2 times their sum\"
\n" ); document.write( "we get
\n" ); document.write( "x(x+1) = 2(x + x+1) - 2
\n" ); document.write( "x^2+x = 2(2x+1) - 2
\n" ); document.write( "x^2+x = 4x+2 - 2
\n" ); document.write( "x^2+x = 4x
\n" ); document.write( "x^2-3x = 0
\n" ); document.write( "x(x-3) = 0
\n" ); document.write( "x = {0,3}
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\n" ); document.write( "Solution:
\n" ); document.write( "0 and 1
\n" ); document.write( "3 and 4
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