document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287802>Question 287802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3/(x+1)   +4/(x-2)=(px+q)/(x+1)(x-2)   <BR>\n" );
document.write( "What is the value of p and q?<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 #854239 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53875)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "3/(x+1) +4/(x-2)=(px+q)/(x+1)(x-2)<BR>\n" );
document.write( "What is the value of p and q?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The answer in the post by @mananth is incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "3/(x+1) +4/(x-2)=(px+q)/(x+1)(x-2)\r<BR>\n" );
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document.write( "Multiply both sides by (x+1)*(x-2).<BR>\n" );
document.write( "You will get an equivalent equality\r<BR>\n" );
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document.write( "3(x-2)+4(x+1)= (px+q)(x+1)(x-2)/(x+1)(x-2)\r<BR>\n" );
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document.write( "3x-6+4x+4 = (px+q)\r<BR>\n" );
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document.write( "7x-2 = px+q\r<BR>\n" );
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document.write( "Hence,  p = 7, q = -2.\r<BR>\n" );
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document.write( "<U>ANSWER</U>.  &nbsp;&nbsp;p = 7,  &nbsp;&nbsp;q = -2.\r<BR>\n" );
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document.write( "At this point, the solution is complete.\r<BR>\n" );
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