document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314693>Question 314693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive odd integers such that the square of the second added to the first is seventy five less than the square of the third.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225055 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, x+2 & x+4 be the 3 integers.<BR>\n" );
document.write( "(x+2)^2+x=(x+4)^2-75<BR>\n" );
document.write( "x^2+4x+4+x=x^2+8x+16-75<BR>\n" );
document.write( "x^2-x^2+5x-8x=-4+16-75<BR>\n" );
document.write( "-3x=-63<BR>\n" );
document.write( "x=-63/-3<BR>\n" );
document.write( "x=21 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "(21+2)^2+21=(21+4)^2-75<BR>\n" );
document.write( "23^2+21=25^2-75<BR>\n" );
document.write( "529+21=625-75<BR>\n" );
document.write( "550=550 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );