document.write( "Question 195927: Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers. \n" ); document.write( "
Algebra.Com's Answer #146936 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers. \n" ); document.write( ". \n" ); document.write( "Let x = first consecutive even integer \n" ); document.write( "then \n" ); document.write( "x+2 = second consecutive even integer \n" ); document.write( "x+4 = third consecutive even integer \n" ); document.write( ". \n" ); document.write( "(x+4)^2 = (x+2)^2 + 100 \n" ); document.write( "(x+4)(x+4) = (x+2)(x+2) + 100 \n" ); document.write( "x^2+8x+16 = x^2+4x+4 + 100 \n" ); document.write( "x^2+8x+16 = x^2+4x+104 \n" ); document.write( "8x+16 = 4x+104 \n" ); document.write( "4x+16 = 104 \n" ); document.write( "4x = 88 \n" ); document.write( "x = 22 \n" ); document.write( ". \n" ); document.write( "The three integers: 22, 24, 26 \n" ); document.write( " \n" ); document.write( " |