document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121712>Question 1121712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 1/x = 1/a + 1/b , determine the value of x. Hence prove sqrt(a-x/b-x) = a/b  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737695 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/x = 1/a + 1/b<BR>\n" );
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document.write( "1/x = (b+a)/ab<BR>\n" );
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document.write( "cross multiply fractions<BR>\n" );
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document.write( "x(b+a) = ab<BR>\n" );
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document.write( "x = ab/(b+a)<BR>\n" );
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document.write( "sqrt( (a-x)/(b-x) ) =<BR>\n" );
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document.write( "sqrt( (a-(ab/(b+a))/(b-(ab/(b+a)) ) =<BR>\n" );
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document.write( "sqrt( (ab+a^2-ab)/(b+a)/(b^2+ab-ab)/(b+a) ) =<BR>\n" );
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document.write( "sqrt( (a^2/(b+a)) / (b^2/(b+a)) ) =<BR>\n" );
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document.write( "sqrt( (a^2/(b+a)) * ((b+a)/b^2) ) =<BR>\n" );
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document.write( "sqrt( a^2/b^2) =<BR>\n" );
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document.write( "a/b or -a/-b = a/b, or -a/b or a/-b<BR>\n" );
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