document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802982>Question 802982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The squares of two consecutive integers are added. The sum of their squares is 181. 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 #484260 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=484260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The squares of two consecutive integers are added. <BR>\n" );
document.write( "The sum of their squares is 181.<BR>\n" );
document.write( "x^2 + (x+1)^2 = 181<BR>\n" );
document.write( "x^2 + x^2 + 2x + 1 - 181 = 0<BR>\n" );
document.write( "2x^2 + 2x - 180 = 0<BR>\n" );
document.write( "Simplify divide by 2<BR>\n" );
document.write( "x^2 + x - 90 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x+10)(x-9) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "x = 9 is the 1st integer, 10 is the 2nd (obviously)\r<BR>\n" );
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