document.write( "Question 1071700: The sum of two consecutive integers is 5/6 but the lower if the two is definitely negative so:
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document.write( "1/ x + 1/x+1 = 5/6\r
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document.write( "X is negative \n" );
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Algebra.Com's Answer #686647 by stanbon(75887) ![]() You can put this solution on YOUR website! The sum of the inverse of two consecutive integers is 5/6 but the lower of the two is definitely negative so: \n" ); document.write( "1/ x + 1/(x+1) = 5/6 \n" ); document.write( "X is negative \n" ); document.write( "---- \n" ); document.write( "[x+1+x]/(x^2+x) = 5/6 \n" ); document.write( "------ \n" ); document.write( "12x+6 = 5x^2+5x \n" ); document.write( "------ \n" ); document.write( "5x^2 - 7x - 6 = 0 \n" ); document.write( "------ \n" ); document.write( "5x^2 -10x+3x - 6 = 0 \n" ); document.write( "5x(x-2)+3(x-2) = 0 \n" ); document.write( "(x-2)(5x+3) = 0 \n" ); document.write( "--- \n" ); document.write( "Negative solution:: \n" ); document.write( "x = -3/5 \n" ); document.write( "x + 1 = 2/5 \n" ); document.write( "------------- \n" ); document.write( "Note:: These are not integers. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------\r \n" ); document.write( "\n" ); document.write( "---------------- \n" ); document.write( " |