document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768545>Question 768545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, have been stuck on this one for a long time:\r<BR>\n" );
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document.write( "V^2=2K(1/x-1/a), transpose for a\r<BR>\n" );
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document.write( "My working is as follows\r<BR>\n" );
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document.write( "Find common denominator: V^2=2K((a-x)/ax)\r<BR>\n" );
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document.write( "Multiply brackets out: V^2= 2aK-2xK/ax\r<BR>\n" );
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document.write( "Multiply by ax: V^2ax= 2aK-2xK\r<BR>\n" );
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document.write( "Move 2aK to LHS: V^2ax-2aK= -2xK\r<BR>\n" );
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document.write( "Factorise: a(V^2x-2K)= -2xk\r<BR>\n" );
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document.write( "Divide by V^2x-2K: a=-2xK/V^2x-2K\r<BR>\n" );
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document.write( "According to book this is wrong\r<BR>\n" );
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document.write( "Answer given is a=2xK/2K-xv^2\r<BR>\n" );
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document.write( "Please help me.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468371 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> V^2=2K(1/x-1/a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5E2=2K%281%2Fx-1%2Fa%29 ALIGN=MIDDLE  ALT=\"V%5E2=2K%281%2Fx-1%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "/2K\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5E2%2F2K+=+%281%2Fx-1%2Fa%29 ALIGN=MIDDLE  ALT=\"V%5E2%2F2K+=+%281%2Fx-1%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28V%5E2%2F2K%29+-%281%2Fx%29=+-1%2Fa%29 ALIGN=MIDDLE  ALT=\"%28V%5E2%2F2K%29+-%281%2Fx%29=+-1%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5E2x-2K%29%2F2Kx+=+-1%2Fa ALIGN=MIDDLE  ALT=\"V%5E2x-2K%29%2F2Kx+=+-1%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "take reciprocal\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a=+2Kx%2F%28V%5E2x-2K%29 ALIGN=MIDDLE  ALT=\"-a=+2Kx%2F%28V%5E2x-2K%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-2Kx%2F%28v%5E2x-2K%29 ALIGN=MIDDLE  ALT=\"a=-2Kx%2F%28v%5E2x-2K%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2Kx%2F%282K-v%5E2x%29 ALIGN=MIDDLE  ALT=\"a=2Kx%2F%282K-v%5E2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You were right<BR>\n" );
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