document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85666>Question 85666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need to solve and check the equations for x:\r<BR>\n" );
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document.write( "x/x-2-x+1/x=8/x^2-2x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x+-+2%29 ALIGN=MIDDLE  ALT=\"x%2F%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+1%29%2Fx ALIGN=MIDDLE  ALT=\"%28x+%2B+1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28x%5E2+-+2x%29 ALIGN=MIDDLE  ALT=\"8%2F%28x%5E2+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Can someone please help me with this?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61860 by </B><A HREF=/tutors/aboutme.mpl?userid=scianci><B>scianci(186)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scianci><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need an LCD. Put the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x ALIGN=MIDDLE  ALT=\"x%5E2+-+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in factored form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x+-+2%29 ALIGN=MIDDLE  ALT=\"x%2F%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+1%29%2Fx ALIGN=MIDDLE  ALT=\"%28x+%2B+1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28x%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"8%2F%28x%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now it's easy to see that your LCD is x(x - 2). Multiply everything by x(x - 2):\r<BR>\n" );
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document.write( "(x)(x - 2)(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x+-+2%29 ALIGN=MIDDLE  ALT=\"x%2F%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+1%29%2Fx ALIGN=MIDDLE  ALT=\"%28x+%2B+1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28x%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"8%2F%28x%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Now the denominators cancel out and you have no more fractions:\r<BR>\n" );
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document.write( "(x)(x) - (x + 1)(x - 2) = 8\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+x+-+2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "x + 2 = 8<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "Check for extraneous solutions:\r<BR>\n" );
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document.write( "x = 6 isn't = 0<BR>\n" );
document.write( "x - 2 = 6 = 2 = 4 isn't = 0<BR>\n" );
document.write( "x = 6 is a good solution </SPAN>\n" );
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