document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209876>Question 1209876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the largest value of x where the plots of<BR>\n" );
document.write( "f(x) = - \frac{2x + 5}{x + 3} and g(x) = \frac{12}{x - 1}<BR>\n" );
document.write( "intersect.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851970 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B5%29%2F%28x%2B3%29=12%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%282x%2B5%29%2F%28x%2B3%29=12%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B5%29%2F%28x%2B3%29-12%2F%28x-1%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B5%29%2F%28x%2B3%29-12%2F%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply everything by (x+3)(x-1) to clear fractions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B5%29%28x-1%29-12%28x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B5%29%28x-1%29-12%28x%2B3%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=2x%5E2%2B3x-5-12x-36=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B3x-5-12x-36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-9x-41=0 ALIGN=MIDDLE  ALT=\"2x%5E2-9x-41=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That doesn't factor, so use the quadratic formula.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%289%2Bsqrt%2881%2B328%29%29%2F4=%289%2Bsqrt%28409%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%289%2Bsqrt%2881%2B328%29%29%2F4=%289%2Bsqrt%28409%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%289-sqrt%2881%2B328%29%29%2F4=%289-sqrt%28409%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%289-sqrt%2881%2B328%29%29%2F4=%289-sqrt%28409%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To several decimal places, the x values where the two graphs intersect are -2.806 and 7.306<br><BR>\n" );
document.write( "The problem asks for the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28largest%29 ALIGN=MIDDLE  ALT=\"cross%28largest%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > larger of the two values.<br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2Bsqrt%28409%29%29%2F4 ALIGN=MIDDLE  ALT=\"%289%2Bsqrt%28409%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or approximately 7.306<br><BR>\n" );
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