document.write( "Question 203748: Product of two consecutive integers is 6 less than 6 times their sum. Find the integers \n" ); document.write( "
Algebra.Com's Answer #153750 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let x = first integer,,,,(x+1) = 2nd integer \n" ); document.write( ". \n" ); document.write( "x(x+1) = 6 {x+(x+1)} -6 \n" ); document.write( ". \n" ); document.write( "x^2 +x = 12x +6-6 \n" ); document.write( ". \n" ); document.write( "x^2 -11x =0 \n" ); document.write( ". \n" ); document.write( "x (x-11)=0 \n" ); document.write( ". \n" ); document.write( "x=0,,11,,,,0,1,,,,,,11,12 \n" ); document.write( ", \n" ); document.write( "check \n" ); document.write( ". \n" ); document.write( "(x=11,12),,11*12 = 6(11+12) -6 \n" ); document.write( ". \n" ); document.write( "132 = 6*23-6 = 138-6=132,,,,ok \n" ); document.write( ". \n" ); document.write( "(x=0,1), 0*1 = 6(1) -6,,,,0=0,,,,ok \n" ); document.write( " \n" ); document.write( " |