document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=570107>Question 570107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cristina found out that the total electrical resistance of R of two resistors connected in parallel is given by 1/R=1/R1+1/R2. The total resistance is 12.3 ohms. Let 2x-1=R1. <BR>\n" );
document.write( "A. Express the second resistance R2 as a function of x.<BR>\n" );
document.write( "B. Find R2 if x is : ohms. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367710 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=367710\">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=1%2FR ALIGN=MIDDLE  ALT=\"1%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FR1%2B1%2FR2 ALIGN=MIDDLE  ALT=\"1%2FR1%2B1%2FR2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " The total resistance is 12.3 ohms. Let 2x-1=R1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12.3 ALIGN=MIDDLE  ALT=\"1%2F12.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282x-1%29%2B1%2FR2 ALIGN=MIDDLE  ALT=\"1%2F%282x-1%29%2B1%2FR2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A. Express the second resistance R2 as a function of x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12.3 ALIGN=MIDDLE  ALT=\"1%2F12.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282x-1%29%2B1%2FR2 ALIGN=MIDDLE  ALT=\"1%2F%282x-1%29%2B1%2FR2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Lets simplify things here<BR>\n" );
document.write( "Let a = R1 = (2x-1)<BR>\n" );
document.write( "Let b = R2<BR>\n" );
document.write( "Rewrite the equation to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12.3 ALIGN=MIDDLE  ALT=\"1%2F12.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa ALIGN=MIDDLE  ALT=\"1%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb ALIGN=MIDDLE  ALT=\"1%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Multiply thru by 12.3ab<BR>\n" );
document.write( "12.3ab*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12.3 ALIGN=MIDDLE  ALT=\"1%2F12.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 12.3ab*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa ALIGN=MIDDLE  ALT=\"1%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 12.3ab*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb ALIGN=MIDDLE  ALT=\"1%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel the denominators, results<BR>\n" );
document.write( "ab = 12.3b + 12.3a<BR>\n" );
document.write( "Get b in terms of a<BR>\n" );
document.write( "ab - 12.3b = 12.3a<BR>\n" );
document.write( "Factor out b on the left<BR>\n" );
document.write( "b(a-12.3) = 12.3a<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812.3a%29%2F%28%28a-12.3%29%29 ALIGN=MIDDLE  ALT=\"%2812.3a%29%2F%28%28a-12.3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Replace a with (2x-1), and b with R2<BR>\n" );
document.write( "R2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812.3%282x-1%29%29%2F%28%28%282x-1%29-12.3%29%29 ALIGN=MIDDLE  ALT=\"%2812.3%282x-1%29%29%2F%28%28%282x-1%29-12.3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "R2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824.6x-12.3%29%2F%282x-13.3%29 ALIGN=MIDDLE  ALT=\"%2824.6x-12.3%29%2F%282x-13.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; is R2 in terms of x<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B. Find R2 if x is : ohms. You didn't give any value for x, you can find what that is and substitute it for x in the above, to find R2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );