document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318736>Question 318736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive integers such that the square of the sum of the smaller two is 297 more than the square of the largest. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228158 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=228158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the integers be x, x+1, x+2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(x+x+1)^2 = (x+2)^2 +297<BR>\n" );
document.write( "(2x+1)^2=x^2+4x+4+297<BR>\n" );
document.write( "4x^2+4x+1= x^2+4x+301<BR>\n" );
document.write( "3x^2-300=0<BR>\n" );
document.write( "3x^2=300<BR>\n" );
document.write( "x^2=300/3<BR>\n" );
document.write( "x^2=100<BR>\n" );
document.write( "x=10<BR>\n" );
document.write( "the integers are 10,11,12 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );