document.write( "Question 992703: The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find two integer. \n" ); document.write( "
Algebra.Com's Answer #805285 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! consecutive positive even integers: x, (x+2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x + (x+2))^2 = x^2 + (x+2)^2 + 48 \n" ); document.write( "(2x + 2)^2 = x^2 + (x+2)^2 + 48 \n" ); document.write( "4x^2 + 8x + 4 = x^2 + x^2 + 4x + 4 + 48 \n" ); document.write( "2x^2 + 4x - 48 = 0 \n" ); document.write( "x^2 + 2x - 24 = 0 \n" ); document.write( "(x + 6)(x - 4) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The integers are positive, so x = 4. The integers are 4 and 6. \n" ); document.write( " |