document.write( "Question 980662: The product of two consecutive even integers is 60 more than twice the larger. Find the first integer \n" ); document.write( "
Algebra.Com's Answer #601782 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make the two consecutive \n" ); document.write( "integers be n + 1, n + 3 \n" ); document.write( "(n + 1)(n + 3) = 2(n + 3) + 60 \n" ); document.write( "Multiply out \n" ); document.write( "n^2 + 4n + 3 = 2n + 6 + 60 \n" ); document.write( "Collect like terms and put in form \n" ); document.write( "ax^2 + bx + c = 0 \n" ); document.write( "n^2 + 2n - 63 = 0 \n" ); document.write( "Factorise \n" ); document.write( "(n - 7)(n + 9) = 0 \n" ); document.write( "n + 9 = 0 \n" ); document.write( "n = -9 (no answer as -ve) \n" ); document.write( "n - 7 = 0 \n" ); document.write( "n = 7 \n" ); document.write( "Two numbers are. 8 and 10 \n" ); document.write( "hope this helps:-) \n" ); document.write( " |