document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137356>Question 137356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am finding partial decomposition very intimidating-Please help if you can:)Thank You very much!<BR>\n" );
document.write( "Find the  unknowns on the right side of the partial fraction decomposition.<BR>\n" );
document.write( "x+3/x^3+64=A/x=4+Bx+C/x^2-4x+16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100500 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=100500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the  unknowns on the right side of the partial fraction decomposition.<BR>\n" );
document.write( "(x+3)/(x^3+64) = (x+3)/[(x+4)(x^2-4x+16)\r<BR>\n" );
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document.write( "(x+3)/(x^3+64) = A/(x+4) + (Bx+C)/(x^2-4x+16)<BR>\n" );
document.write( "The denominators are the same so just work with the numerators:\r<BR>\n" );
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document.write( "x+3 = A(x^2-4x+16) + (Bx+C)(x+4)\r<BR>\n" );
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document.write( "x+3 = Ax^2-4Ax+16A + Bx^2+4Bx + Cx + 4C \r<BR>\n" );
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document.write( "x+3 = (A+B)x^2  + (4B-4A+C)x + (16A +4C)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "  A + B + 0 = 0<BR>\n" );
document.write( "-4A +4B + C = 1<BR>\n" );
document.write( "16A +0  +4C = 3<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Solving for A, B, and C you get:\r<BR>\n" );
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document.write( "A = -1/48<BR>\n" );
document.write( "B = 1/48<BR>\n" );
document.write( "C = 40/48<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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