document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77433>Question 77433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> k{x)=4-x/x2-9\r<BR>\n" );
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document.write( "(find the zeros of the function) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55548 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=55548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the zeros we need to let k(x)=0 so we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%284-x%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"0=%284-x%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So now we only care about the numerator. By this identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2Fx=0 ALIGN=MIDDLE  ALT=\"0%2Fx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > the denominator can be any number while the numerator is zero and the whole equation will be zero. So we can basically say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=4-x ALIGN=MIDDLE  ALT=\"0=4-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now we can solve for x by adding x 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=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our zero is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice the graph has an x-intercept of (4,0)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+5%2C+-5%2C+5%2C%284-x%29%2F%28x%5E2-9%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+5%2C+-5%2C+5%2C%284-x%29%2F%28x%5E2-9%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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