document.write( "Question 1019942: The difference of squares of two consecutive even natural numbers is 60. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #635870 by stanbon(75887) ![]() You can put this solution on YOUR website! The difference of squares of two consecutive even natural numbers is 60. Find the numbers. \n" ); document.write( "------ \n" ); document.write( "1st:: 2x \n" ); document.write( "2nd: 2(x+1) \n" ); document.write( "------- \n" ); document.write( "[2(x+1)]^2 - (2x)^2 = 60 \n" ); document.write( "------- \n" ); document.write( "4[x^2 + 2x + 1] - 2x^2 = 60 \n" ); document.write( "2x^2 + 4x + 4 = 60 \n" ); document.write( "---- \n" ); document.write( "x^2 + 2x - 56 = 0 \n" ); document.write( "------- \n" ); document.write( "x = 6.55 \n" ); document.write( "----- \n" ); document.write( "Note:: That would mean that 2x is NOT a natural number. \n" ); document.write( "---- \n" ); document.write( "Ans:: None \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |