document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030202>Question 1030202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the partial fraction decomposition of the rational expression:\r<BR>\n" );
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document.write( "(3x^2+49) / (x(x+7)^2) = (A/x) + (B/(x+7)) + (C/(x+7)^2)\r<BR>\n" );
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document.write( "Thank you for your help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645094 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=645094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the partial fraction decomposition of the rational expression: <BR>\n" );
document.write( "(3x^2+49) / (x(x+7)^2) = (A/x) + (B/(x+7)) + (C/(x+7)^2)<BR>\n" );
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document.write( "Equate the numerators of the two sides::<BR>\n" );
document.write( "3x^2 + 49 = A(x+7)^2 + B(x(x+7)) + Cx<BR>\n" );
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document.write( "3x^2 + 49 = A(x^2+14x + 49) + B(x^2+7x) + Cx<BR>\n" );
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document.write( "3x^2 + 49 = (A+B)x^2 + (14A +7B +C)x + 49A <BR>\n" );
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document.write( "Equate the proper coefficients:<BR>\n" );
document.write( "A+B = 3<BR>\n" );
document.write( "14A + 7B + C = 0<BR>\n" );
document.write( "49A = 49<BR>\n" );
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document.write( "Solve for A, B, and C<BR>\n" );
document.write( "A = 1<BR>\n" );
document.write( "B = 3-1 = 2<BR>\n" );
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document.write( "C = -14-14 = -28<BR>\n" );
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document.write( "(3x^2+49) / (x(x+7)^2) = (A/x) + (B/(x+7)) + (C/(x+7)^2)<BR>\n" );
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document.write( "(3x^2+49) / (x(x+7)^2) =  = 1/x + 2/(x+7) - 28/(x+7)^2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------\r<BR>\n" );
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document.write( "3x^2 + 49 = 1/(x+7)^2 + 2/ </SPAN>\n" );
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