document.write( "Question 228596: find two consecutive odd integers such that the difference of their squares is 160. \n" ); document.write( "
Algebra.Com's Answer #169645 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x= first odd integer \n" ); document.write( "x+2 = second odd integer \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+2)^2 - x^2 = 160\r \n" ); document.write( "\n" ); document.write( "x^2 + 4x + 4 - x^2 = 160 \n" ); document.write( "4x+4 = 160 \n" ); document.write( "4x=156 \n" ); document.write( "x= 39\r \n" ); document.write( "\n" ); document.write( "x+2= 41\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "41^2- 39^2 \n" ); document.write( "1681-1521 \n" ); document.write( "=160 It checks!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus \n" ); document.write( " \n" ); document.write( " |