document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107624>Question 107624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of the rectangle is  2(3x-2)/x-1 Find the width. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78386 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >) of the rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283x-2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"2%283x-2%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " Find the width\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length%2Awidth+=+2%283x-2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"length%2Awidth+=+2%283x-2%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => \r<BR>\n" );
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document.write( "Let length be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283x-2%29%2F%282x-2%29 ALIGN=MIDDLE  ALT=\"2%283x-2%29%2F%282x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length++%2Awidth+=+area ALIGN=MIDDLE  ALT=\"length++%2Awidth+=+area\"   DISABLED_style= \"max-width:90%; height:auto;\" >then we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%283x-2%29%2F%282x-2%29%29+%2A+width+=+2%283x-2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%282%283x-2%29%2F%282x-2%29%29+%2A+width+=+2%283x-2%29%2F%28x-1%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=width+=+%282%283x-2%29%2F%28x-1%29%29%2F%282%283x-2%29%2F%282x-2%29%29 ALIGN=MIDDLE  ALT=\"width+=+%282%283x-2%29%2F%28x-1%29%29%2F%282%283x-2%29%2F%282x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+2%29 ALIGN=MIDDLE  ALT=\"%283x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors cancel out\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width+=+%282%2F%28x-1%29%29%2F%282%2F%282x-2%29%29 ALIGN=MIDDLE  ALT=\"width+=+%282%2F%28x-1%29%29%2F%282%2F%282x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >facors cancel out\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width+=+%282x-2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"width+=+%282x-2%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........\r<BR>\n" );
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document.write( "or this way:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length%2Awidth+=+2%283x-2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"length%2Awidth+=+2%283x-2%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => ...we have a rational expression on right side\r<BR>\n" );
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document.write( ".... we know that a product of two numbers (or expressions) is rational number (expression)in case when both numbers (expressions) are rational, or when one number (expression) is whole number and other one is rational.\r<BR>\n" );
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document.write( "so, if we say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length+=+2%283x+-2%29 ALIGN=MIDDLE  ALT=\"length+=+2%283x+-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=with ALIGN=MIDDLE  ALT=\"with\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "because only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%283x-2%29%29%2A%281%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%282%283x-2%29%29%2A%281%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will give us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283x-2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"2%283x-2%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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