document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39434>Question 39434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a parallel circuit, the joint resistance is 8 ohms. If one resistor is 12 ohms less than the second resistor, find both resistors. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24885 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> parallel circuit with resistors A and B, then the total resistance is given by R where \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2FR+=+1%2FA+%2B+1%2FB+ ALIGN=MIDDLE  ALT=\"+1%2FR+=+1%2FA+%2B+1%2FB+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2FR+=+B%2F%28AB%29+%2B+A%2F%28AB%29+ ALIGN=MIDDLE  ALT=\"+1%2FR+=+B%2F%28AB%29+%2B+A%2F%28AB%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2FR+=+%28A%2BB%29%2F%28AB%29+ ALIGN=MIDDLE  ALT=\"+1%2FR+=+%28A%2BB%29%2F%28AB%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+%28AB%29%2F%28A%2BB%29+ ALIGN=MIDDLE  ALT=\"+R+=+%28AB%29%2F%28A%2BB%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so, given our info of one resistor being x and the other being (x-12), we get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+=+%28x%28x-12%29%29%2F%28x%2B%28x-12%29%29+ ALIGN=MIDDLE  ALT=\"+8+=+%28x%28x-12%29%29%2F%28x%2B%28x-12%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+=+%28x%5E2-12x%29%2F%282x-12%29+ ALIGN=MIDDLE  ALT=\"+8+=+%28x%5E2-12x%29%2F%282x-12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%282x-12%29+=+x%5E2-12x+ ALIGN=MIDDLE  ALT=\"+8%282x-12%29+=+x%5E2-12x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16x-96+=+x%5E2-12x+ ALIGN=MIDDLE  ALT=\"+16x-96+=+x%5E2-12x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x%5E2-28x%2B96+ ALIGN=MIDDLE  ALT=\"+0+=+x%5E2-28x%2B96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2-28x%2B96+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2-28x%2B96+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-4)(x-24) = 0<BR>\n" );
document.write( "so x-4=0 or x-24=0<BR>\n" );
document.write( "x=4 or x=24\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now x is not 4 for our resistor problem, since the other resistor would then be 4-12 --> -8. This is physically impossible.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, the only answer we have is that the resistors are 24 and (24-12) --> 12.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "jon. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );