document.write( "Question 467653: I am thinking of two consecutive even integers. The sum of their squares is 340. what are the integers? PLEASE HELP! \n" ); document.write( "
Algebra.Com's Answer #320886 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! I am thinking of two consecutive even integers. The sum of their squares is 340. what are the integers? \n" ); document.write( ". \n" ); document.write( "Let x = first of two consecutive even integers \n" ); document.write( "then \n" ); document.write( "x+2 = second even integer \n" ); document.write( ". \n" ); document.write( "x^2 + (x+2)^2 = 340 \n" ); document.write( "x^2 + (x+2)(x+2) = 340 \n" ); document.write( "x^2 + x^2+4x+4 = 340 \n" ); document.write( "2x^2+4x+4 = 340 \n" ); document.write( "x^2+2x+2 = 170 \n" ); document.write( "x^2+2x-168 = 0 \n" ); document.write( "(x+14)(x-12) = 0 \n" ); document.write( "x = {-14, 12} \n" ); document.write( ". \n" ); document.write( "solution: \n" ); document.write( "the two integers are \n" ); document.write( "12 and 14 \n" ); document.write( "or \n" ); document.write( "-12 and -14 \n" ); document.write( " \n" ); document.write( " |