document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286471>Question 286471</A>: <I><SPAN STYLE=\"word-break: break-all;\">  b is a point between ac if ab=6x and bc=x^2 and ac=27 find x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207769 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=207769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since b is somewhere on ac, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%2Bbc=ac ALIGN=MIDDLE  ALT=\"ab%2Bbc=ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the segment addition postulate (ie the parts of a line segment add up to the total line segment)\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2Bx%5E2=27 ALIGN=MIDDLE  ALT=\"6x%2Bx%5E2=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > which then becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x-27=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x-27=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Factor to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now use the zero product property and solve to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9 ALIGN=MIDDLE  ALT=\"x=-9\"   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;\" >\r<BR>\n" );
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document.write( "Since we're dealing with lengths, the only sensible answer is <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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