document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121551>Question 121551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me figure this out.\r<BR>\n" );
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document.write( "If x-y=9 and xy=3, then x^2+y^2=?\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "a) 36<BR>\n" );
document.write( "b) 2(sqrt of 21)<BR>\n" );
document.write( "c) sqrt of 87<BR>\n" );
document.write( "d) 84<BR>\n" );
document.write( "e) 87 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89238 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=89238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=9 ALIGN=MIDDLE  ALT=\"x-y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and <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;\" > solve this system to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=+xy=3 ALIGN=MIDDLE  ALT=\"+xy=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >…..=>.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3%2Fx ALIGN=MIDDLE  ALT=\"y+=+3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >…..=>.substitute into:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x-y=9 ALIGN=MIDDLE  ALT=\"+x-y=9\"   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=x-3%2Fx=9 ALIGN=MIDDLE  ALT=\"x-3%2Fx=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >...both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x%5E2-3=9x ALIGN=MIDDLE  ALT=\"x%5E2-3=9x\"   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=x%5E2+-9x+-3=0 ALIGN=MIDDLE  ALT=\"x%5E2+-9x+-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....use quadratic formula to solve 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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29\"   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=x%5B1%2C2%5D=%28-%28-9%29+%2B-+sqrt+%28%28-9%29%5E2+-4%2A1%2A%28-3%29+%29%29+%2F+%282%2A1%29 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%28-%28-9%29+%2B-+sqrt+%28%28-9%29%5E2+-4%2A1%2A%28-3%29+%29%29+%2F+%282%2A1%29\"   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=x%5B1%2C2%5D=%289+%2B-+sqrt+%2881+%2B+12+%29%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%289+%2B-+sqrt+%2881+%2B+12+%29%29+%2F+2\"   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=x%5B1%2C2%5D=%289+%2B-+sqrt+%2893+%29%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%289+%2B-+sqrt+%2893+%29%29+%2F+2\"   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=x%5B1%2C2%5D=%289+%2B-+9.64+%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%289+%2B-+9.64+%29+%2F+2\"   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=x%5B1%5D=%289+%2B+9.64+%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%5D=%289+%2B+9.64+%29+%2F+2\"   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=x%5B1%5D=%2818.64+%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%5D=%2818.64+%29+%2F+2\"   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=+highlight+%28x%5B1%5D=+9.32%29+ ALIGN=MIDDLE  ALT=\"+highlight+%28x%5B1%5D=+9.32%29+\"   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=x%5B2%5D=%289+-+9.64+%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D=%289+-+9.64+%29+%2F+2\"   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=x%5B2%5D=%28-.64+%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D=%28-.64+%29+%2F+2\"   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=+highlight+%28x%5B2%5D=+-%28+.32%29%29 ALIGN=MIDDLE  ALT=\"+highlight+%28x%5B2%5D=+-%28+.32%29%29\"   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=y%5B1%5D+=+3%2Fx ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > …<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+%283%2F9.32%29 ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+%283%2F9.32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y%5B1%5D=+.32%29 ALIGN=MIDDLE  ALT=\"highlight%28y%5B1%5D=+.32%29\"   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=y+=+3%2Fx ALIGN=MIDDLE  ALT=\"y+=+3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > …..=>.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++y%5B2%5D+=+%283%2F-.32%29 ALIGN=MIDDLE  ALT=\"++y%5B2%5D+=+%283%2F-.32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y%5B2%5D+=-9.375%29+ ALIGN=MIDDLE  ALT=\"highlight%28y%5B2%5D+=-9.375%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then \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=+%289.32%29%5E2+%2B+%28.32%29%5E2=86.8624+%2B0.1024=86.9648+=+87 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=+%289.32%29%5E2+%2B+%28.32%29%5E2=86.8624+%2B0.1024=86.9648+=+87\"   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=x%5E2%2By%5E2=+%28-+.32%29%5E2+%2B+%28-9.375%29%5E2=+0.1024+%2B+87.890625=87.993025 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=+%28-+.32%29%5E2+%2B+%28-9.375%29%5E2=+0.1024+%2B+87.890625=87.993025\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your answer is: \r<BR>\n" );
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document.write( "e) 87\r<BR>\n" );
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document.write( " </SPAN>\n" );
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