document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336099>Question 336099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi - function question....\r<BR>\n" );
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document.write( "There is the function  g(x) = K(x+3)(x-3) for some constant K.  \r<BR>\n" );
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document.write( "If g(a-1.2) = 0 and a>0, what is the value of a?\r<BR>\n" );
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document.write( "thank you - we are at a loss....\r<BR>\n" );
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document.write( "Fiona </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241036 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=241036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of a if:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+K%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+K%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > K = some constant. and if...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28a-1.2%29+=+0 ALIGN=MIDDLE  ALT=\"g%28a-1.2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In the given function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+K%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+K%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+K%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+K%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > For every x, replace with (a-1.2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28a-1.2%29+=+K%28%28a-1.2%29%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"g%28a-1.2%29+=+K%28%28a-1.2%29%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand the right side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28a-1.2%29+=+K%28%28a%5E2-2.4a%2B1.44%29-9%29 ALIGN=MIDDLE  ALT=\"g%28a-1.2%29+=+K%28%28a%5E2-2.4a%2B1.44%29-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28a-1.2%29+=+K%28a%5E2-2.4a-7.56%29 ALIGN=MIDDLE  ALT=\"g%28a-1.2%29+=+K%28a%5E2-2.4a-7.56%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now set this equal to zero since:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28a-1.2%29=0 ALIGN=MIDDLE  ALT=\"g%28a-1.2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K%28a%5E2-2.4a-7.56%29+=+0 ALIGN=MIDDLE  ALT=\"K%28a%5E2-2.4a-7.56%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K+=+0 ALIGN=MIDDLE  ALT=\"K+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-2.4a-7.96+=+0 ALIGN=MIDDLE  ALT=\"a%5E2-2.4a-7.96+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-2.4a-7.56+=+0 ALIGN=MIDDLE  ALT=\"a%5E2-2.4a-7.56+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > You can use the quadratic formula to solve this and you should get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+4.2 ALIGN=MIDDLE  ALT=\"a+=+4.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-1.8 ALIGN=MIDDLE  ALT=\"a+=+-1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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