document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30021>Question 30021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real solutions, if any, of each system.\r<BR>\n" );
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document.write( "{3m^2-2n^2= 9<BR>\n" );
document.write( "{m^2-n^2= -1\r<BR>\n" );
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document.write( "The answers for this are <BR>\n" );
document.write( "(SquareRoot of 11, 2(Squareroot of 3))<BR>\n" );
document.write( "(SquareRoot of 11, -2(Squareroot of 3))<BR>\n" );
document.write( "(-SquareRoot of 11, 2(Squareroot of 3))<BR>\n" );
document.write( "(-SquareRoot of 11, -2(Squareroot of 3))\r<BR>\n" );
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document.write( "I just need to know how to go about solving this.<BR>\n" );
document.write( "Thankyou<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16778 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3m%5E2-2n%5E2=+9+ ALIGN=MIDDLE  ALT=\"+3m%5E2-2n%5E2=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5E2-n%5E2=+-1+ ALIGN=MIDDLE  ALT=\"+m%5E2-n%5E2=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Scale up the second one by multiplying it by 3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3m%5E2-2n%5E2=+9+ ALIGN=MIDDLE  ALT=\"+3m%5E2-2n%5E2=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > --eqn1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3m%5E2-3n%5E2=+-3+ ALIGN=MIDDLE  ALT=\"+3m%5E2-3n%5E2=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > --eqn2\r<BR>\n" );
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document.write( "Now subtract it from the first equation, leaving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5E2+=+12+ ALIGN=MIDDLE  ALT=\"+n%5E2+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+sqrt%2812%29+ ALIGN=MIDDLE  ALT=\"+n+=+sqrt%2812%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-+sqrt%2812%29+ ALIGN=MIDDLE  ALT=\"+n+=+-+sqrt%2812%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+sqrt%284%2A3%29+ ALIGN=MIDDLE  ALT=\"+n+=+sqrt%284%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-+sqrt%284%2A3%29+ ALIGN=MIDDLE  ALT=\"+n+=+-+sqrt%284%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+sqrt%284%29sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+n+=+sqrt%284%29sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-+sqrt%284%29sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+n+=+-+sqrt%284%29sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+2sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+n+=+2sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-+2sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+n+=+-+2sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+sqrt%2812%29+ ALIGN=MIDDLE  ALT=\"+n+=+sqrt%2812%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5E2+-+12+=+-1+ ALIGN=MIDDLE  ALT=\"+m%5E2+-+12+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5E2+=+11+ ALIGN=MIDDLE  ALT=\"+m%5E2+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+sqrt%2811%29+ ALIGN=MIDDLE  ALT=\"m+=+sqrt%2811%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-+sqrt%2811%29+ ALIGN=MIDDLE  ALT=\"m+=+-+sqrt%2811%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Similar result obtained for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-+sqrt%2812%29+ ALIGN=MIDDLE  ALT=\"+n+=+-+sqrt%2812%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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