document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61310>Question 61310</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279093/algebrahomeworkh>College Algebra Graphs and Models</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Decompose into partial fractions (check your answers)[x^2 -10x +13]/[x^2 -5x +6)(x-1)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42182 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Decompose into partial fractions (check your answers)[x^2 -10x +13]/[x^2 -5x +6)(x-1)]<BR>\n" );
document.write( "=[X^2-10X+13]/[(X-2)(X-3)(X-1)]<BR>\n" );
document.write( "= A/(X-1) + B/(X-2) + C/(X-3)<BR>\n" );
document.write( "X^2-10X+13 = A(X-2)(X-3) +B(X-1)(X-3) +C(X-1)(X-2)<BR>\n" );
document.write( "PUTTING X=1,2 AND 3 IN ORDER , WE GET...<BR>\n" );
document.write( "A =[1-10+13]/[(1-2)(1-3)= 4/2=2<BR>\n" );
document.write( "B= [4-20+13]/(2-1)(2-3)=-3/-1=3<BR>\n" );
document.write( "C=[9-30+13]/(3-1)(3-2)=-8/2 = -4<BR>\n" );
document.write( "HENCE ANSWER IS <BR>\n" );
document.write( "2/(X-1) +3/(X-2) - 4/(X-3)...I HOPE YOU CAN CHECK BY MULTIPLICATION. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );