document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19274>Question 19274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2-6x=16 ALIGN=MIDDLE  ALT=\"X%5E2-6x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > I'm supposed to solve this by completing the square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9302 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=9302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> right, fairly easy concept here. As follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x=16 ALIGN=MIDDLE  ALT=\"x%5E2-6x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Just look at the left hand side: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x ALIGN=MIDDLE  ALT=\"x%5E2-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We need to figure out which number to add/subtract such that we can then factorise it as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ba%29%5E2 ALIGN=MIDDLE  ALT=\"x%2Ba%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-a%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-a%29%5E2\"   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=x%2Ba%29%5E2 ALIGN=MIDDLE  ALT=\"x%2Ba%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > expanded would give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2ax+%2B+a%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2ax+%2B+a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the negative version would have -2ax instead.\r<BR>\n" );
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document.write( "So, we have -6x which is the (-2ax) which means that a needs to be 3. \r<BR>\n" );
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document.write( "So, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> 9\r<BR>\n" );
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document.write( "So, we have to add 9...to both sides remember, to keep the equation unaltered... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2B9+=+25 ALIGN=MIDDLE  ALT=\"x%5E2-6x%2B9+=+25\"   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=x%5E2+-+6x+%2B+9 ALIGN=MIDDLE  ALT=\"x%5E2+-+6x+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be written instantly as <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;\" > --> the negative version, since the x-term was negative.\r<BR>\n" );
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document.write( "and we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29+=+%2Bsqrt%2825%29 ALIGN=MIDDLE  ALT=\"%28x-3%29+=+%2Bsqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29+=+-sqrt%2825%29 ALIGN=MIDDLE  ALT=\"%28x-3%29+=+-sqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "--> x-3 = +5   OR   x-3 = -5<BR>\n" );
document.write( "--> x = 8   OR   x = -2\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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