document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119712>Question 119712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 #87714 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=87714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive integers such that the sum of their squares is 77.<BR>\n" );
document.write( "1st: x<BR>\n" );
document.write( "2nd: x+1<BR>\n" );
document.write( "3rd: x+2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x^2 + (x+1)^2 + (x+2)^2 = 77<BR>\n" );
document.write( "3x^2 +6x +5 = 77<BR>\n" );
document.write( "3x^2+6x-72=0<BR>\n" );
document.write( "x^2+2x-24=0<BR>\n" );
document.write( "(x+6)(x-4)=0<BR>\n" );
document.write( "x = -6 or x=4<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "If x = -6, then x+1 = -5, and x+2 = -4<BR>\n" );
document.write( "If x = 4, then x+1 = 5, and x+2 = 6<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );