document.write( "Question 457142: The product of two consecutive positive integers is 1 more than their sum. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #313677 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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two consecutive positive integers
\n" ); document.write( "x, (x+1)
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\n" ); document.write( "The product of two consecutive positive integers is 1 more than their sum.
\n" ); document.write( "x(x+1) = x + (x+1) + 1
\n" ); document.write( "x^2 + x = 2x + 2
\n" ); document.write( "x^2 + x - 2x - 2 = 0
\n" ); document.write( "x^2 - x - 2 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(x - 2)(x + 1) = 0
\n" ); document.write( "the positive solution
\n" ); document.write( "x = 2
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\n" ); document.write( "The two integers: 2, 3
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\n" ); document.write( "Check 2(3) = 2 + 3 + 1\r
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