document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277164>Question 277164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I want to find the value of a, b, and c so that i can decompose it into partial functions\r<BR>\n" );
document.write( "\n" );
document.write( "(8x-3)/(2x^2-x)\r<BR>\n" );
document.write( "\n" );
document.write( "thanks!!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202117 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=202117\">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=%288x-3%29%2F%282x%5E2-x%29 ALIGN=MIDDLE  ALT=\"%288x-3%29%2F%282x%5E2-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-3%29%2Fx%282x-1%29 ALIGN=MIDDLE  ALT=\"%288x-3%29%2Fx%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Write the given expression as a sum using A & B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-3%29%2Fx%282x-1%29 ALIGN=MIDDLE  ALT=\"%288x-3%29%2Fx%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2Fx ALIGN=MIDDLE  ALT=\"A%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2F%282x-1%29 ALIGN=MIDDLE  ALT=\"B%2F%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Simplify by multipling each side by the LCD, x(2x-1)<BR>\n" );
document.write( "x(2x-1)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-3%29%2Fx%282x-1%29 ALIGN=MIDDLE  ALT=\"%288x-3%29%2Fx%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x(2x-1)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2Fx ALIGN=MIDDLE  ALT=\"A%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + x(2x-1)*(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2F%282x-1%29 ALIGN=MIDDLE  ALT=\"B%2F%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Results<BR>\n" );
document.write( "8x - 3 = A(2x-1) + Bx<BR>\n" );
document.write( ":<BR>\n" );
document.write( "8x - 3 = A2x - A + Bx<BR>\n" );
document.write( ":<BR>\n" );
document.write( "8x - 3 = x(2A + B) - A<BR>\n" );
document.write( "The coefficient on one side = the coefficient on the other side<BR>\n" );
document.write( "2A + B = 8<BR>\n" );
document.write( "the constant on one side = the constant on the other side<BR>\n" );
document.write( "-A = -3<BR>\n" );
document.write( "A = 3<BR>\n" );
document.write( "Substitute 3 for A and find B<BR>\n" );
document.write( "2(3) + B = 8<BR>\n" );
document.write( "B = 8 - 6<BR>\n" );
document.write( "B = 2<BR>\n" );
document.write( "So we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-3%29%2Fx%282x-1%29 ALIGN=MIDDLE  ALT=\"%288x-3%29%2Fx%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fx ALIGN=MIDDLE  ALT=\"3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%282x-1%29 ALIGN=MIDDLE  ALT=\"2%2F%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );