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)\"\" \"About 
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( "
\n" );