document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893330>Question 893330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have this question that seems impossible but I'm sure there's an explanation. The question is:\r<BR>\n" );
document.write( "\n" );
document.write( "Prove by contradiction that there are no positive integer solutions to x^2-y^2=1 and x^2-y^2=10\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541981 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are no solutions to this system of equations at all because by substitution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=10 ALIGN=MIDDLE  ALT=\"1=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is false and no value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > can make this true. <BR>\n" );
document.write( "Please check your problem setup and repost if you need to.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );