document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184090>Question 184090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2 - 12x =45<BR>\n" );
document.write( "x^2 -12x +36=81               (need to know how my text book got +36 and 81)<BR>\n" );
document.write( "(x-6)^2 =81<BR>\n" );
document.write( "x-6= +-9\r<BR>\n" );
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document.write( "x= +-9 +6<BR>\n" );
document.write( "x=15 or -3  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138106 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=138106\">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=x%5E2+-+12x+=45 ALIGN=MIDDLE  ALT=\"x%5E2+-+12x+=45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "What the book is doing is completing the square on the left side (which will help isolate \"x\").\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+12x+%2B36=45%2B36 ALIGN=MIDDLE  ALT=\"x%5E2+-+12x+%2B36=45%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take half of the \"x\" coefficient -12 to get -6. Square -6 to get 36. Add this value to 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+-+12x+%2B36=81 ALIGN=MIDDLE  ALT=\"x%5E2+-+12x+%2B36=81\"   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-6%29%5E2=81 ALIGN=MIDDLE  ALT=\"%28x-6%29%5E2=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-6=0%2B-+sqrt%2881%29 ALIGN=MIDDLE  ALT=\"x-6=0%2B-+sqrt%2881%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=x-6=sqrt%2881%29 ALIGN=MIDDLE  ALT=\"x-6=sqrt%2881%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-6=-sqrt%2881%29 ALIGN=MIDDLE  ALT=\"x-6=-sqrt%2881%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the \"plus/minus\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-6=9 ALIGN=MIDDLE  ALT=\"x-6=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-6=-9 ALIGN=MIDDLE  ALT=\"x-6=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 81 to get 9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6%2B9 ALIGN=MIDDLE  ALT=\"x=6%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6-9 ALIGN=MIDDLE  ALT=\"x=6-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 6 to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=15 ALIGN=MIDDLE  ALT=\"x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=15 ALIGN=MIDDLE  ALT=\"x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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