document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126344>Question 126344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't really know where to place this problem, because it comes in the guide of a contest exam, so I don't know what theme are they talking about, but the problem is like this:<BR>\n" );
document.write( "If (x+y)^2=17 and xy=3, then x^2+y^2=<BR>\n" );
document.write( "a.20<BR>\n" );
document.write( "b.17<BR>\n" );
document.write( "c.14<BR>\n" );
document.write( "d.11\r<BR>\n" );
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document.write( "Can you tell me which theme are they talking about and how to solve it... Thank you... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92540 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=92540\">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=%28x%2By%29%5E2=17 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2xy%2By%5E2=17 ALIGN=MIDDLE  ALT=\"x%5E2%2B2xy%2By%5E2=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil the left side\r<BR>\n" );
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document.write( "Notice how the second equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=3 ALIGN=MIDDLE  ALT=\"xy=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the 2nd step has an \"2xy\" term in it. So let's multiply both sides of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=3 ALIGN=MIDDLE  ALT=\"xy=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Axy=2%2A3 ALIGN=MIDDLE  ALT=\"2%2Axy=2%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy=6 ALIGN=MIDDLE  ALT=\"2xy=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this means we can replace the \"2xy\" term in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2xy%2By%5E2=17 ALIGN=MIDDLE  ALT=\"x%5E2%2B2xy%2By%5E2=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > with 6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6%2By%5E2=17 ALIGN=MIDDLE  ALT=\"x%5E2%2B6%2By%5E2=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with 6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bcross%286-6%29%2By%5E2=17-6 ALIGN=MIDDLE  ALT=\"x%5E2%2Bcross%286-6%29%2By%5E2=17-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=11 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=11 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the answer is D) </SPAN>\n" );
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