document.write( "Question 751306: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers. I would like to know how to do this problem \n" ); document.write( "
Algebra.Com's Answer #457111 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The product of two consecutive integers is 9 less than 9 times their sum. Find the integers. \n" ); document.write( "---------------- \n" ); document.write( "1st: x \n" ); document.write( "2nd: x+1 \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "x(x+1) = 9(x + x+1)+9 \n" ); document.write( "------- \n" ); document.write( "x^2 + x = 9(2x+1)+9 \n" ); document.write( "x^2 + x = 18x+18 \n" ); document.write( "------------ \n" ); document.write( "x^2 -17x -18 = 0 \n" ); document.write( "(x-18)(x+1) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 18 \n" ); document.write( "x+1 = 19 \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |