document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140314>Question 140314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2-6x%2B2y%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2-6x%2B2y%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<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 #102184 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=102184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2-6x%2B2y%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2-6x%2B2y%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2By%5E2%2B2y%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2-6x%2By%5E2%2B2y%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2By%5E2%2B2y=-1 ALIGN=MIDDLE  ALT=\"x%5E2-6x%2By%5E2%2B2y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2-9%2By%5E2%2B2y=-1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2-9%2By%5E2%2B2y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Complete the square for the x terms (let me know if you need help completing the square)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2-9%2B%28y%2B1%29%5E2-1=-1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2-9%2B%28y%2B1%29%5E2-1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Complete the square for the y terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2B%28y%2B1%29%5E2-10=-1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B1%29%5E2-10=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2B%28y%2B1%29%5E2=-1%2B10 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B1%29%5E2=-1%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2B%28y%2B1%29%5E2=9 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B1%29%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B1%29%5E2=9-%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28y%2B1%29%5E2=9-%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1=0%2B-sqrt%289-%28x-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"y%2B1=0%2B-sqrt%289-%28x-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0%2B-sqrt%289-%28x-3%29%5E2%29-1 ALIGN=MIDDLE  ALT=\"y=0%2B-sqrt%289-%28x-3%29%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides\r<BR>\n" );
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document.write( "So we have the two equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%289-%28x-3%29%5E2%29-1 ALIGN=MIDDLE  ALT=\"y=sqrt%289-%28x-3%29%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-sqrt%289-%28x-3%29%5E2%29-1 ALIGN=MIDDLE  ALT=\"y=-sqrt%289-%28x-3%29%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When we graph the two, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%289-%28x-3%29%5E2%29-1%2C-sqrt%289-%28x-3%29%5E2%29-1++%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%289-%28x-3%29%5E2%29-1 ALIGN=MIDDLE  ALT=\"y=sqrt%289-%28x-3%29%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-sqrt%289-%28x-3%29%5E2%29-1 ALIGN=MIDDLE  ALT=\"y=-sqrt%289-%28x-3%29%5E2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >(green) </SPAN>\n" );
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