document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034421>Question 1034421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find constants A and B such that<BR>\n" );
document.write( "({x + 7)/(x^2 - x - 2) = (A)/(x - 2) + (B)/(x + 1)<BR>\n" );
document.write( "for all x such that x not equal to -1 and x not equal to 2. Give your answer as the ordered pair (A,B). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649062 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+7%29%2F%28x%5E2+-+x+-+2%29+=+A%2F%28x+-+2%29+%2B+B%2F%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+7%29%2F%28x%5E2+-+x+-+2%29+=+A%2F%28x+-+2%29+%2B+B%2F%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "If x = 0, then after substitution, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F2+=+-A%2F2+%2B+B ALIGN=MIDDLE  ALT=\"-7%2F2+=+-A%2F2+%2B+B\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 7 = A - 2B.<BR>\n" );
document.write( "If x = 1, then after substitution,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+=+-A+%2B+B%2F2 ALIGN=MIDDLE  ALT=\"-4+=+-A+%2B+B%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or B = 2A - 8.\r<BR>\n" );
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document.write( "Substituting the second equation into the first equation, we get A = 3, while B = 2*3 - 8 = -2.\r<BR>\n" );
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document.write( "Therefore the answer is (3,-2). </SPAN>\n" );
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