document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468039>Question 468039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The square of the largest of 3 positive consecutive integers is 140 less than the sum of the squares of the two smaller integers. What are the integers  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321131 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x2+(x+1)2=(x+2)2+140<BR>\n" );
document.write( "x2+x2+2x+1=x2+4x+4+140<BR>\n" );
document.write( "2x2+2x+1=x2+4x+144<BR>\n" );
document.write( "x2-2x-143=0<BR>\n" );
document.write( "(x-13)(x+11)=0<BR>\n" );
document.write( "x=13 or -11<BR>\n" );
document.write( "Throwing out the negative answer, we get the consecutive integers to be 13,14, and 15..<BR>\n" );
document.write( "169+196-140=225<BR>\n" );
document.write( "365-140=225<BR>\n" );
document.write( "225=225..<BR>\n" );
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