document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151844>Question 151844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consecutive Integers. Find three consecutive integers such that the sum of their squares is 77. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111618 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=111618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X^2+(X+1)^2+(X+2)^2=77<BR>\n" );
document.write( "X^2+X^2+2X+1+X^2+4X+4=77<BR>\n" );
document.write( "3X^2+6X+5=77<BR>\n" );
document.write( "3X^2+6X+5-77=0<BR>\n" );
document.write( "3X^2+6X-72=0<BR>\n" );
document.write( "3(X^2+2X-24)=0<BR>\n" );
document.write( "3(X+6)(X-4)=0<BR>\n" );
document.write( "X-4=0<BR>\n" );
document.write( "X=4, 5 & 6 ANSWERS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "462+5^2=662=77<BR>\n" );
document.write( "16+25=36=77<BR>\n" );
document.write( "77=77 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );