document.write( "Question 702178: Please help me solve this problem.....\r
\n" ); document.write( "\n" ); document.write( "The product of two consecutive integers in 1 more then their sum. find the integers.\r
\n" ); document.write( "\n" ); document.write( "thank you \n" ); document.write( "
Algebra.Com's Answer #432840 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
let two consecutive integers be: x, (x+1)
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\n" ); document.write( "Just write an equation for exactly what it says
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\n" ); document.write( "\"The product of two consecutive integers in 1 more then their sum.\"
\n" ); document.write( "x(x+1) = x + (x+1) + 1
\n" ); document.write( "Combine the the like terms, arrange as a quadratic equation on the left
\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( "Two solutions
\n" ); document.write( "x = 2
\n" ); document.write( "and
\n" ); document.write( "x = -1
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\n" ); document.write( "2, 3 are the two integers
\n" ); document.write( "but
\n" ); document.write( "-1, 0 will also work in the equation (Most consider 0 an integer)
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