document.write( "Question 754917: The product of two consecutive even integers plus their sum is 98.Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #459396 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! The two numbers are x and x + 2 \n" ); document.write( "Their product + sum. \n" ); document.write( "x( x + 2) + (x + x + 2) \n" ); document.write( " x^2 + 2x + 2x + 2 = 98 \n" ); document.write( " x^2 + 4x + 2 - 98 = 0 \n" ); document.write( " (x^2 + 4x - 96)= 0 \n" ); document.write( "Factorise: (x - 8)(x + 12) = 0 \n" ); document.write( " x = 8 x = -12 (no answer) \n" ); document.write( " One number = 8 \n" ); document.write( " Other number = 10 \n" ); document.write( "Proof: \n" ); document.write( " Their product + sum = 98 \n" ); document.write( " (8 x 10) + (8 + 10) = 98 \n" ); document.write( " 80 + 18 = 98 \n" ); document.write( "Hope this helps \n" ); document.write( ":-)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |