document.write( "Question 961576: Two sets of three consecutive integers have a property that the product of the larger two is one less than seven times the smallest. \n" ); document.write( "
Algebra.Com's Answer #587548 by ankor@dixie-net.com(22740)\"\" \"About 
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let the consecutive integers be: x, (x+1), (x+2)
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\n" ); document.write( " Two sets of three consecutive integers have a property that the product of the larger two is one less than seven times the smallest.
\n" ); document.write( " (x+1)*(x+2) = 7x - 1
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 2x + x + 2 = 7x - 1
\n" ); document.write( "x^2 + 3x - 7x + 2 + 1 = 0
\n" ); document.write( "x^2 - 4x + 3 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-3)(x-1) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = 3; 3, 4, 5 is the 1st set
\n" ); document.write( "and
\n" ); document.write( "x = 1; 1, 2, 3 is the 2nd set\r
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\n" ); document.write( "\n" ); document.write( "0 solutions \n" ); document.write( "
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