document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209713>Question 1209713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let a and b be integer such that (2 + sqrt(5))(137) = a + b sqrt(5).  Compute a^2 - 5b^2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849931 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+%2B+sqrt%285%29%29%28137%29+=+a+%2B+b+sqrt%285%29 ALIGN=MIDDLE  ALT=\"%282+%2B+sqrt%285%29%29%28137%29+=+a+%2B+b+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=274%2B137sqrt%285%29=a%2Bb%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"274%2B137sqrt%285%29=a%2Bb%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=274 ALIGN=MIDDLE  ALT=\"a=274\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=137 ALIGN=MIDDLE  ALT=\"b=137\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-5b%5E2=274%5E2-5%2A137%5E2=%282%2A137%29%5E2-5%2A137%5E2=4%2A137%5E2-5%2A137%5E2=-%28137%5E2%29=-18769 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );