document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95435>Question 95435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28x%5E3%2B9%2Ax%5E2%2B5%2Ax%2B45%29 ALIGN=MIDDLE  ALT=\"7%2F%28x%5E3%2B9%2Ax%5E2%2B5%2Ax%2B45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F%28x%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"A%2F%28x%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2F%28x%2B9%29 ALIGN=MIDDLE  ALT=\"B%2F%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "What is B?\r<BR>\n" );
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document.write( "I tried the following approach:\r<BR>\n" );
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document.write( "7=A*(x+9)+B*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"%28X%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7=x*(A+Bx)+9A+5B<BR>\n" );
document.write( "7=9A+5B & x(A+Bx)=0\r<BR>\n" );
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document.write( "I could only say B=(7-9A)/5 & either x=0 or x=-A/B<BR>\n" );
document.write( "I'm not sure how to move from here to the next in order to find the solution.\r<BR>\n" );
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document.write( "Could you help? The question was given by teacher on the board, not from a textbook. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69463 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=69463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the denominator of the 1st fraction is x^2+5<BR>\n" );
document.write( "you need Ax+B as its numerator and C as the numerator of the 2nd fraction<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Then multiplying thru by (x^2+5)(x+9) you would get:<BR>\n" );
document.write( "7 = (Ax+B)(x+9) + C(x^2+5)<BR>\n" );
document.write( "7 = Ax^2+9Ax+Bx+9B+Cx^2+5C<BR>\n" );
document.write( "7 = (A+C)x^2+(9A+B)x+(9B+5C)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Let x=0, then 0A+9B+5C = 7<BR>\n" );
document.write( "Let x=1, then 10A+10B+6C=7<BR>\n" );
document.write( "Let x=-1, then -8A+8B+6C=7<BR>\n" );
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document.write( "Solving that with a TI-83 Matrix facility  you get<BR>\n" );
document.write( "A = -0.8139...<BR>\n" );
document.write( "B = 0.73255...<BR>\n" );
document.write( "C = 0.08139...<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "That may or may not be what you are looking for but<BR>\n" );
document.write( "you cannot arrive at an answer with A as the numerator over<BR>\n" );
document.write( "x^2+5 and B as the numerator over x+9<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );