document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221499>Question 221499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/s+a + 1/s+b = 1/c solve for s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166156 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=166156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/(s+a) + 1/(s+b) = 1/c<BR>\n" );
document.write( ".<BR>\n" );
document.write( "LCD = (s+a)(s+b)(c),,,,,multiply  thru  by  LCD<BR>\n" );
document.write( ".<BR>\n" );
document.write( " c(s+b) + c(s+a) = (s+a)(s+b) ,,,,,,,expand  and  simplify<BR>\n" );
document.write( ".<BR>\n" );
document.write( "cs +cb +cs+ ca = s^2 +sb +sa +ab<BR>\n" );
document.write( ".<BR>\n" );
document.write( " s^2 +sa +sb -2cs = ca -ab +cb <BR>\n" );
document.write( ".<BR>\n" );
document.write( "s^2 +s(a+b -2c) +( ab -ca-cb) =0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "using  quadratic  formula<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(a=(1),,,,b=(a+b-2c),,,,c=(ab-ca-cb)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "s= [-(a+b-2c) +/- sqrt{ (a+b-2c)^2 -4(1)(ab-ca-cb)}] / 2(1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "s= [2c-a-b +/- sqrt{ (a+b)^2 -4(a+b)c +4c^2 -4ab +4ac +4bc} ] / 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "s= [2c -a-b +/- sqrt { (a+b)^2 -4c^2 -4ac-4bc -4ab +4ac +4bc}]/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "s= [2c-a-b +/- sqrt{ (a+b)^2 -4c^2 -4ab)}]/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "s= [ 2c-a-b +/- sqrt{ ((a+b) +2c)( (a+b) -2c)}]/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "s= [ -( (a+b) -2c) +/- sqrt { ( (a+b) +2c)( (a+b) -2c)}]/2 <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hopefully  this  is  close to  the  answer<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Please  check  the  math  one  more  time. A  goal  would  be  to  get  sqrt{ x-y}^2,,,but  it  is  what  it  is.<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );